International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics by :

Download or read book International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics written by and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Diffusion Equations and Their Equilibrium States I

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Publisher : Springer
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Diffusion Equations and Their Equilibrium States I by : W.-M. Ni

Download or read book Nonlinear Diffusion Equations and Their Equilibrium States I written by W.-M. Ni and published by Springer. This book was released on 1988-06-24 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the n-dimensional Laplacian, the solution u = u(x, t) is defined over some space-time domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its time-independent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the Lend-Emden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution.

A Stability Technique for Evolution Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461220505
Total Pages : 388 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis A Stability Technique for Evolution Partial Differential Equations by : Victor A. Galaktionov

Download or read book A Stability Technique for Evolution Partial Differential Equations written by Victor A. Galaktionov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.

Global Behavior of Nonlinear Difference Equations of Higher Order with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401717036
Total Pages : 237 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Global Behavior of Nonlinear Difference Equations of Higher Order with Applications by : V.L. Kocic

Download or read book Global Behavior of Nonlinear Difference Equations of Higher Order with Applications written by V.L. Kocic and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear difference equations of order greater than one are of paramount impor tance in applications where the (n + 1)st generation (or state) of the system depends on the previous k generations (or states). Such equations also appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations which model various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our aim in this monograph is to initiate a systematic study of the global behavior of solutions of nonlinear scalar difference equations of order greater than one. Our primary concern is to study the global asymptotic stability of the equilibrium solution. We are also interested in whether the solutions are bounded away from zero and infinity, in the description of the semi cycles of the solutions, and in the existence of periodic solutions. This monograph contains some recent important developments in this area together with some applications to mathematical biology. Our intention is to expose the reader to the frontiers of the subject and to formulate some important open problems that require our immediate attention.

Asymptotic Behaviour of Solutions of Evolutionary Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521422376
Total Pages : 172 pages
Book Rating : 4.4/5 (223 download)

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Book Synopsis Asymptotic Behaviour of Solutions of Evolutionary Equations by : M. I. Vishik

Download or read book Asymptotic Behaviour of Solutions of Evolutionary Equations written by M. I. Vishik and published by Cambridge University Press. This book was released on 1992 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short but sweet summary of globally asymptotic solutions of evolutionary equations.

Theory of Third-Order Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 8132216148
Total Pages : 515 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Theory of Third-Order Differential Equations by : Seshadev Padhi

Download or read book Theory of Third-Order Differential Equations written by Seshadev Padhi and published by Springer Science & Business Media. This book was released on 2013-10-16 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the theory of third-order differential equations. Most of the results are derived from the results obtained for third-order linear homogeneous differential equations with constant coefficients. M. Gregus, in his book written in 1987, only deals with third-order linear differential equations. These findings are old, and new techniques have since been developed and new results obtained. Chapter 1 introduces the results for oscillation and non-oscillation of solutions of third-order linear differential equations with constant coefficients, and a brief introduction to delay differential equations is given. The oscillation and asymptotic behavior of non-oscillatory solutions of homogeneous third-order linear differential equations with variable coefficients are discussed in Ch. 2. The results are extended to third-order linear non-homogeneous equations in Ch. 3, while Ch. 4 explains the oscillation and non-oscillation results for homogeneous third-order nonlinear differential equations. Chapter 5 deals with the z-type oscillation and non-oscillation of third-order nonlinear and non-homogeneous differential equations. Chapter 6 is devoted to the study of third-order delay differential equations. Chapter 7 explains the stability of solutions of third-order equations. Some knowledge of differential equations, analysis and algebra is desirable, but not essential, in order to study the topic.

Third Order Linear Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9400937156
Total Pages : 285 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Third Order Linear Differential Equations by : Michal Gregus

Download or read book Third Order Linear Differential Equations written by Michal Gregus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then is that they can't see the problem. one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Gad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. How ever, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the stI11fture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisci plines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classifi~ation schemes.

Advances in Dynamic Equations on Time Scales

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682309
Total Pages : 354 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advances in Dynamic Equations on Time Scales by : Martin Bohner

Download or read book Advances in Dynamic Equations on Time Scales written by Martin Bohner and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent introductory material on the calculus of time scales and dynamic equations.; Numerous examples and exercises illustrate the diverse application of dynamic equations on time scales.; Unified and systematic exposition of the topics allows good transitions from chapter to chapter.; Contributors include Anderson, M. Bohner, Davis, Dosly, Eloe, Erbe, Guseinov, Henderson, Hilger, Hilscher, Kaymakcalan, Lakshmikantham, Mathsen, and A. Peterson, founders and leaders of this field of study.; Useful as a comprehensive resource of time scales and dynamic equations for pure and applied mathematicians.; Comprehensive bibliography and index complete this text.

Nonlinear Parabolic and Elliptic Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461530342
Total Pages : 786 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Nonlinear Parabolic and Elliptic Equations by : C.V. Pao

Download or read book Nonlinear Parabolic and Elliptic Equations written by C.V. Pao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.

Important Developments in Soliton Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642580459
Total Pages : 563 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Important Developments in Soliton Theory by : A.S. Fokas

Download or read book Important Developments in Soliton Theory written by A.S. Fokas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last ten to fifteen years there have been many important developments in the theory of integrable equations. This period is marked in particular by the strong impact of soliton theory in many diverse areas of mathematics and physics; for example, algebraic geometry (the solution of the Schottky problem), group theory (the discovery of quantum groups), topology (the connection of Jones polynomials with integrable models), and quantum gravity (the connection of the KdV with matrix models). This is the first book to present a comprehensive overview of these developments. Numbered among the authors are many of the most prominent researchers in the field.

Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402008023
Total Pages : 700 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations by : R.P. Agarwal

Download or read book Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations written by R.P. Agarwal and published by Springer Science & Business Media. This book was released on 2002-07-31 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential equations. An important feature of this monograph is the illustration of several results with examples of current interest. This book will stimulate further research into oscillation theory. This book is written at a graduate level, and is intended for university libraries, graduate students, and researchers working in the field of ordinary differential equations.

Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday

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Publisher : American Mathematical Soc.
ISBN 13 : 0821875744
Total Pages : 409 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday by : Helge Holden

Download or read book Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday written by Helge Holden and published by American Mathematical Soc.. This book was released on 2013-07-08 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu

Recent Developments in the Solution of Nonlinear Differential Equations

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Publisher : BoD – Books on Demand
ISBN 13 : 1839686561
Total Pages : 374 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Recent Developments in the Solution of Nonlinear Differential Equations by : Bruno Carpentieri

Download or read book Recent Developments in the Solution of Nonlinear Differential Equations written by Bruno Carpentieri and published by BoD – Books on Demand. This book was released on 2021-09-08 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.

Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9401725152
Total Pages : 685 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations by : R.P. Agarwal

Download or read book Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations written by R.P. Agarwal and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential equations. An important feature of this monograph is the illustration of several results with examples of current interest. This book will stimulate further research into oscillation theory. This book is written at a graduate level, and is intended for university libraries, graduate students, and researchers working in the field of ordinary differential equations.

Nonlinear Differential Equations and Dynamical Systems

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Publisher : MDPI
ISBN 13 : 3036507108
Total Pages : 158 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Nonlinear Differential Equations and Dynamical Systems by : Feliz Manuel Minhós

Download or read book Nonlinear Differential Equations and Dynamical Systems written by Feliz Manuel Minhós and published by MDPI. This book was released on 2021-04-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.

Research in Progress

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Publisher :
ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis Research in Progress by :

Download or read book Research in Progress written by and published by . This book was released on 1967 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Conference on Differential & Difference Equations and Applications

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Publisher : Hindawi Publishing Corporation
ISBN 13 : 9789775945389
Total Pages : 1266 pages
Book Rating : 4.9/5 (453 download)

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Book Synopsis Proceedings of the Conference on Differential & Difference Equations and Applications by : Ravi P. Agarwal

Download or read book Proceedings of the Conference on Differential & Difference Equations and Applications written by Ravi P. Agarwal and published by Hindawi Publishing Corporation. This book was released on 2006 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt: