Countable Systems Of Differential Equations

Download Countable Systems Of Differential Equations full books in PDF, epub, and Kindle. Read online Countable Systems Of Differential Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Countable Systems of Differential Equations

Author : Anatolii M. Samoilenko
Publisher : Walter de Gruyter
ISBN 13 : 3110942038
Total Pages : 297 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Countable Systems of Differential Equations by : Anatolii M. Samoilenko

Download or read book Countable Systems of Differential Equations written by Anatolii M. Samoilenko and published by Walter de Gruyter. This book was released on 2011-07-11 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the solution of various problems in the theory of differential equations in the space "M" of bounded numerical sequences (called countable systems). In particular, the general theory of countable systems, the theory of oscillating solutions, and the theory of countable systems with pulse action are treated. Main attention is given to generalization of the results of numerous authors, obtained in recent years for finite-dimensional systems of different equations to the case of systems from the analysed class. The book contains the following four chapters: - General concepts of the theory of infinite systems of differential equations - Invariant tori - Reducibility of linear systems - Impulsive systems This book will be of value and interest to anyone working in this field of differential equations.

Ordinary Differential Equations in Banach Spaces

Author : K. Deimling
Publisher : Springer
ISBN 13 : 3540373381
Total Pages : 143 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Ordinary Differential Equations in Banach Spaces by : K. Deimling

Download or read book Ordinary Differential Equations in Banach Spaces written by K. Deimling and published by Springer. This book was released on 2006-11-15 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients

Author : Yuri A. Mitropolsky
Publisher : Springer Science & Business Media
ISBN 13 : 940112728X
Total Pages : 291 pages
Book Rating : 4.4/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients by : Yuri A. Mitropolsky

Download or read book Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients written by Yuri A. Mitropolsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems. The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A numerical-analytic method for the investigation of periodic solutions of these evolution equations is presented. In Chapters 2 and 3, problems concerning the existence of periodic and quasiperiodic solutions for systems with lag are examined. For a nonlinear system with quasiperiodic coefficients and lag, the conditions under which quasiperiodic solutions exist are established. Chapter 4 is devoted to the study of invariant toroidal manifolds for various classes of systems of differential equations with quasiperiodic coefficients. Chapter 5 examines the problem concerning the reducibility of a linear system of difference equations with quasiperiodic coefficients to a linear system of difference equations with constant coefficients. Chapter 6 contains an investigation of invariant toroidal sets for systems of difference equations with quasiperiodic coefficients. For mathematicians whose work involves the study of oscillating systems.

Ordinary Differential Equations and Dynamical Systems

Author : Gerald Teschl
Publisher : American Mathematical Society
ISBN 13 : 147047641X
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Ordinary Differential Equations and Dynamical Systems by : Gerald Teschl

Download or read book Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl and published by American Mathematical Society. This book was released on 2024-01-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm–Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincaré–Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman–Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.

Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations

Author : Anatoliy M. Samoilenko
Publisher : World Scientific
ISBN 13 : 981432907X
Total Pages : 323 pages
Book Rating : 4.8/5 (143 download)

DOWNLOAD NOW!

Book Synopsis Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations by : Anatoliy M. Samoilenko

Download or read book Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations written by Anatoliy M. Samoilenko and published by World Scientific. This book was released on 2011 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Differential equations with random right-hand sides and impulsive effects. 1.1. An impulsive process as a solution of an impulsive system. 1.2. Dissipativity. 1.3. Stability and Lyapunov functions. 1.4. Stability of systems with permanently acting random perturbations. 1.5. Solutions periodic in the restricted sense. 1.6. Periodic solutions of systems with small perturbations. 1.7. Periodic solutions of linear impulsive systems. 1.8. Weakly nonlinear systems. 1.9. Comments and references -- 2. Invariant sets for systems with random perturbations. 2.1. Invariant sets for systems with random right-hand sides. 2.2. Invariant sets for stochastic Ito systems. 2.3. The behaviour of invariant sets under small perturbations. 2.4. A study of stability of an equilibrium via the reduction principle for systems with regular random perturbations. 2.5. Stability of an equilibrium and the reduction principle for Ito type systems. 2.6. A study of stability of the invariant set via the reduction principle. Regular perturbations. 2.7. Stability of invariant sets and the reduction principle for Ito type systems. 2.8. Comments and references -- 3. Linear and quasilinear stochastic Ito systems. 3.1. Mean square exponential dichotomy. 3.2. A study of dichotomy in terms of quadratic forms. 3.3. Linear system solutions that are mean square bounded on the semiaxis. 3.4. Quasilinear systems. 3.5. Linear system solutions that are probability bounded on the axis. A generalized notion of a solution. 3.6. Asymptotic equivalence of linear systems. 3.7. Conditions for asymptotic equivalence of nonlinear systems. 3.8. Comments and references -- 4. Extensions of Ito systems on a torus. 4.1. Stability of invariant tori. 4.2. Random invariant tori for linear extensions. 4.3. Smoothness of invariant tori. 4.4. Random invariant tori for nonlinear extensions. 4.5. An ergodic theorem for a class of stochastic systems having a toroidal manifold. 4.6. Comments and references -- 5. The averaging method for equations with random perturbations. 5.1. A substantiation of the averaging method for systems with impulsive effect. 5.2. Asymptotics of normalized deviations of averaged solutions. 5.3. Applications to the theory of nonlinear oscillations. 5.4. Averaging for systems with impulsive effects at random times. 5.5. The second theorem of M.M. Bogolyubov for systems with regular random perturbations. 5.6. Averaging for stochastic Ito systems. An asymptotically finite interval. 5.7. Averaging on the semiaxis. 5.8. The averaging method and two-sided bounded solutions of Ito systems. 5.9. Comments and references

Handbook of Differential Equations: Ordinary Differential Equations

Author : Flaviano Battelli
Publisher : Elsevier
ISBN 13 : 0080559468
Total Pages : 719 pages
Book Rating : 4.0/5 (85 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Differential Equations: Ordinary Differential Equations by : Flaviano Battelli

Download or read book Handbook of Differential Equations: Ordinary Differential Equations written by Flaviano Battelli and published by Elsevier. This book was released on 2008-08-19 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real-world applications - Written for mathematicians and scientists of many related fields

Nonlinear Dynamics and Applications

Author : Santo Banerjee
Publisher : Springer Nature
ISBN 13 : 3030997928
Total Pages : 1433 pages
Book Rating : 4.0/5 (39 download)

DOWNLOAD NOW!

Book Synopsis Nonlinear Dynamics and Applications by : Santo Banerjee

Download or read book Nonlinear Dynamics and Applications written by Santo Banerjee and published by Springer Nature. This book was released on 2022-10-06 with total page 1433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent trends and applications of nonlinear dynamics in various branches of society, science, and engineering. The selected peer-reviewed contributions were presented at the International Conference on Nonlinear Dynamics and Applications (ICNDA 2022) at Sikkim Manipal Institute of Technology (SMIT) and cover a broad swath of topics ranging from chaos theory and fractals to quantum systems and the dynamics of the COVID-19 pandemic. Organized by the SMIT Department of Mathematics, this international conference offers an interdisciplinary stage for scientists, researchers, and inventors to present and discuss the latest innovations and trends in all possible areas of nonlinear dynamics.

Stochastic Equations in Infinite Dimensions

Author : Giuseppe Da Prato
Publisher : Cambridge University Press
ISBN 13 : 1139917153
Total Pages : 513 pages
Book Rating : 4.1/5 (399 download)

DOWNLOAD NOW!

Book Synopsis Stochastic Equations in Infinite Dimensions by : Giuseppe Da Prato

Download or read book Stochastic Equations in Infinite Dimensions written by Giuseppe Da Prato and published by Cambridge University Press. This book was released on 2014-04-17 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its second edition, this book gives a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. In the first part the authors give a self-contained exposition of the basic properties of probability measure on separable Banach and Hilbert spaces, as required later; they assume a reasonable background in probability theory and finite dimensional stochastic processes. The second part is devoted to the existence and uniqueness of solutions of a general stochastic evolution equation, and the third concerns the qualitative properties of those solutions. Appendices gather together background results from analysis that are otherwise hard to find under one roof. This revised edition includes two brand new chapters surveying recent developments in the area and an even more comprehensive bibliography, making this book an essential and up-to-date resource for all those working in stochastic differential equations.

Distributed Computer and Communication Networks

Author : Vladimir M. Vishnevskiy
Publisher : Springer
ISBN 13 : 3319519174
Total Pages : 681 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Distributed Computer and Communication Networks by : Vladimir M. Vishnevskiy

Download or read book Distributed Computer and Communication Networks written by Vladimir M. Vishnevskiy and published by Springer. This book was released on 2017-02-13 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Distributed and Computer and Communication Networks, DCCN 2016, held in Moscow, Russia, in November 2016. The 50 revised full papers and the 6 revised short papers presented were carefully reviewed and selected from 141 submissions. The papers cover the following topics: computer and communication networks architecture optimization; control in computer and communication networks; performance and QoS/QoE evaluation in wireless networks; analytical modeling and simulation of next-generation communications systems; queuing theory and reliability theory applications in computer networks; wireless 4G/5G networks, cm- and mm-wave radio technologies; RFID technology and its application in intellectual transportation networks; internet of things, wearables, and applications of distributed information systems; probabilistic and statistical models in information systems; mathematical modeling of high-tech systems; mathematical modeling and control problems; distributed and cloud computing systems, big data analytics.

Recent Advances in Differential Equations

Author : Roberto Conti
Publisher : Elsevier
ISBN 13 : 1483273911
Total Pages : 462 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis Recent Advances in Differential Equations by : Roberto Conti

Download or read book Recent Advances in Differential Equations written by Roberto Conti and published by Elsevier. This book was released on 2014-05-10 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Advances in Differential Equations contains the proceedings of a meeting held at the International Center for Theoretical Physics in Trieste, Italy, on August 24-28, 1978 under the auspices of the U.S. Army Research Office. The papers review the status of research in the field of differential equations (ordinary, partial, and functional). Both theoretical aspects (differential operators, periodic solutions, stability and bifurcation, asymptotic behavior of solutions, etc.) and problems arising from applications (reaction-diffusion equations, control problems, heat flow, etc.) are discussed. Comprised of 33 chapters, this book first examines non-cooperative trajectories of n-person dynamical games and stable non-cooperative equilibria, followed by a discussion on the determination and application of Vekua resolvents. The reader is then introduced to generalized Hopf bifurcation; some Cauchy problems arising in computational methods; and boundary value problems for pairs of ordinary differential operators. Subsequent chapters focus on degenerate evolution equations and singular optimal control; stability of neutral functional differential equations; local exact controllability of nonlinear evolution equations; and turbulence and higher order bifurcations. This monograph will be of interest to students and practitioners in the field of mathematics.

Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type

Author : Yuri A. Mitropolsky
Publisher : Springer Science & Business Media
ISBN 13 : 9401157529
Total Pages : 223 pages
Book Rating : 4.4/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type by : Yuri A. Mitropolsky

Download or read book Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type written by Yuri A. Mitropolsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have been studied in classical works of Petrovskii, Leret, Courant, Gording. Mixed problems for hyperbolic equations were considered by Vishik, Ladyzhenskaya, and that for general two dimensional equations were investigated by Bitsadze, Vishik, Gol'dberg, Ladyzhenskaya, Myshkis, and others. In last decade the theory of solvability on the whole of boundary value problems for nonlinear differential equations has received intensive development. Significant results for nonlinear elliptic and parabolic equations of second order were obtained in works of Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skripnik, and others. Concerning the solvability in general of nonlinear hyperbolic equations, which are connected to the theory of local and nonlocal boundary value problems for hyperbolic equations, there are only partial results obtained by Bronshtein, Pokhozhev, Nakhushev.

Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces

Author : Anatoliy M Samoilenko
Publisher : World Scientific
ISBN 13 : 9814434841
Total Pages : 408 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces by : Anatoliy M Samoilenko

Download or read book Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces written by Anatoliy M Samoilenko and published by World Scientific. This book was released on 2013-05-03 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems.The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics.

Differential and Integral Inequalities: Theory and Applications

Author : V. Lakshmikantham
Publisher : Academic Press
ISBN 13 : 0080955630
Total Pages : 405 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis Differential and Integral Inequalities: Theory and Applications by : V. Lakshmikantham

Download or read book Differential and Integral Inequalities: Theory and Applications written by V. Lakshmikantham and published by Academic Press. This book was released on 1969 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applicationsof differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.

Advances In Computational Mathematics: New Delhi, India - Proceedings Of The Conference

Author : H P Dikshit
Publisher : World Scientific
ISBN 13 : 9814552062
Total Pages : 338 pages
Book Rating : 4.8/5 (145 download)

DOWNLOAD NOW!

Book Synopsis Advances In Computational Mathematics: New Delhi, India - Proceedings Of The Conference by : H P Dikshit

Download or read book Advances In Computational Mathematics: New Delhi, India - Proceedings Of The Conference written by H P Dikshit and published by World Scientific. This book was released on 1994-05-18 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Finite Elements for Kirchhoff and Mindlin-Reissner Plates (D Braess)A Multiscale Method for the Double Layer Potential Equation on a Polyhedron (W Dahmen et al)Shape Preserving GC2-Rational Cubic Splines (A Bhatt et al)Affine Operators and Frames of Multivariate Wavelets (C K Chui & X L Shi)Compressed Representations of Curves and Images Using a Multiresolution Box-Spline Framework (H Diamond et al)Wavelet Transformations and Matrix Compression (S L Lee et al)Using the Refinement Equation for the Construction of Pre-Wavelets VII: Strömberg Wavelets (C A Micchelli)An Extension of a Result of Rivilin on Walsh Equiconvergence (R Brück et al)Rational Complex Planar Splines (H P Dikshit et al)Constructive Aspects in Complex Analysis (D Gaier)Applications and Computation of Orthogonal Polynomials (W Gautschi)Approximation of Multivariate Functions (V Ya Lin & A Pinkus)Some Algorithms for Thin Plate Spline Interpolation to Functions of Two Variables (M J D Powell)and other papers Readership: Applied mathematicians. keywords:

Multifrequency Oscillations of Nonlinear Systems

Author : Anatolii M. Samoilenko
Publisher : Springer Science & Business Media
ISBN 13 : 1402020317
Total Pages : 321 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Multifrequency Oscillations of Nonlinear Systems by : Anatolii M. Samoilenko

Download or read book Multifrequency Oscillations of Nonlinear Systems written by Anatolii M. Samoilenko and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations.

Theory and Application of Liapunov's Direct Method

Author : Wolfgang Hahn
Publisher : Courier Dover Publications
ISBN 13 : 0486839869
Total Pages : 195 pages
Book Rating : 4.4/5 (868 download)

DOWNLOAD NOW!

Book Synopsis Theory and Application of Liapunov's Direct Method by : Wolfgang Hahn

Download or read book Theory and Application of Liapunov's Direct Method written by Wolfgang Hahn and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The groundbreaking work of Russian mathematician A. M. Liapunov (1857–1918) on the stability of dynamical systems was overlooked for decades because of political turmoil. During the Cold War, when it was discovered that his method was applicable to the stability of aerospace guidance systems, interest in his research was rekindled. It has remained high ever since. This monograph on both the theory and applications of Liapunov's direct method reflects the work of a period when the theory had been studied seriously for some time and reached a degree of completeness and sophistication. It remains of interest to applied mathematicians in many areas. Topics include applications of the stability theorems to concrete problems, the converse of the main theorems, Liapunov functions with certain properties of rate of change, the sensitivity of the stability behavior to perturbations, the critical cases, and generalizations of the concept of stability.

Nonoscillation Theory of Functional Differential Equations with Applications

Author : Ravi P. Agarwal
Publisher : Springer Science & Business Media
ISBN 13 : 1461434556
Total Pages : 526 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!

Book Synopsis Nonoscillation Theory of Functional Differential Equations with Applications by : Ravi P. Agarwal

Download or read book Nonoscillation Theory of Functional Differential Equations with Applications written by Ravi P. Agarwal and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material. Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.