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Periodic Solutions Of Nonlinear Differential Equations Existence And Error Bounds
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Book Synopsis PERIODIC SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS: EXISTENCE AND ERROR BOUNDS.. by : Carlos Alberto De Buarque Borges
Download or read book PERIODIC SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS: EXISTENCE AND ERROR BOUNDS.. written by Carlos Alberto De Buarque Borges and published by . This book was released on 1963 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations by : A.A. Pankov
Download or read book Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations written by A.A. Pankov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~Et moi ... si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aUe.· human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non· sense', The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. lleaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com· puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'e1re of this series.
Book Synopsis Periodic Solutions of Some Nonlinear Differential Equations of Higher Order by : Svatopluc Fučík
Download or read book Periodic Solutions of Some Nonlinear Differential Equations of Higher Order written by Svatopluc Fučík and published by . This book was released on 1974 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solutions of Nonlinear Differential Equations by : Mathematics Research Center (United States. Army)
Download or read book Numerical Solutions of Nonlinear Differential Equations written by Mathematics Research Center (United States. Army) and published by . This book was released on 1966 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Periodic Solutions of Nonlinear Ordinary Differential Equations by : Lawrence Markus
Download or read book Periodic Solutions of Nonlinear Ordinary Differential Equations written by Lawrence Markus and published by . This book was released on 1962 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Error Bounds for Multistep Solutions of Nonlinear Differential Equations by : W. Liniger
Download or read book Stability and Error Bounds for Multistep Solutions of Nonlinear Differential Equations written by W. Liniger and published by . This book was released on 1977 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Ordinary Differential Equations: Problems and Solutions by : Dominic Jordan
Download or read book Nonlinear Ordinary Differential Equations: Problems and Solutions written by Dominic Jordan and published by OUP Oxford. This book was released on 2007-08-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal companion to the new 4th Edition of Nonlinear Ordinary Differential Equations by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in Nonlinear Ordinary Differential Equations 4th Edition, and in most cases can be adapted for coursework or self-study. Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.
Book Synopsis Periodic Solutions of Scalar Second Order Differential Equations with a Singularity by : Alessandro Fonda
Download or read book Periodic Solutions of Scalar Second Order Differential Equations with a Singularity written by Alessandro Fonda and published by . This book was released on 1993 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Error Bounds and Uniqueness for the Solutions of Nonlinear, Strongly Coupled, Parabolic Systems of Differential Equations by : Karl Nickel
Download or read book Error Bounds and Uniqueness for the Solutions of Nonlinear, Strongly Coupled, Parabolic Systems of Differential Equations written by Karl Nickel and published by . This book was released on 1976 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary value problem for a nonlinear, strongly coupled, parabolic system of differential equations in a box is considered. The system consists of 2 equations with 3 unknowns. The right sides of the differential equation satisfy Lipschitz conditions. Error bounds for an approximate solution are given. A uniqueness theorem is proven. The results are derived with the aid of the theory of differential inequalities and by using a theorem of Kolmogorov for the solution of the Landau problem.
Book Synopsis Stability & Periodic Solutions of Ordinary & Functional Differential Equations by : T. A. Burton
Download or read book Stability & Periodic Solutions of Ordinary & Functional Differential Equations written by T. A. Burton and published by Courier Corporation. This book was released on 2014-06-24 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book's discussion of a broad class of differential equations includes linear differential and integrodifferential equations, fixed-point theory, and the basic stability and periodicity theory for nonlinear ordinary and functional differential equations.
Book Synopsis Nonlinear Differential Equations in Ordered Spaces by : S. Carl
Download or read book Nonlinear Differential Equations in Ordered Spaces written by S. Carl and published by CRC Press. This book was released on 2000-06-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extremality results proved in this Monograph for an abstract operator equation provide the theoretical framework for developing new methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit and implicit forms. By means of these extremality results, the authors prove the existence of extremal solutions between appropriate upper and lower solutions of first and second order discontinuous implicit and explicit ordinary and functional differential equations. They then study the dependence of these extremal solutions on the data. The authors begin by developing an existence theory for an abstract operator equation in ordered spaces and offer new tools for dealing with different kinds of discontinuous implicit and explicit differential equation problems. They present a unified approach to the existence of extremal solutions of quasilinear elliptic and parabolic problems and extend the upper and lower solution method to elliptic and parabolic inclusion of hemivariation type using variational and nonvariational methods. Nonlinear Differential Equations in Ordered Spaces includes research that appears for the first time in book form and is designed as a source book for pure and applied mathematicians. Its self-contained presentation along with numerous worked examples and complete, detailed proofs also make it accessible to researchers in engineering as well as advanced students in these fields.
Book Synopsis Non-Linear Differential Equations by : G. Sansone
Download or read book Non-Linear Differential Equations written by G. Sansone and published by Elsevier. This book was released on 2016-06-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.
Book Synopsis Nonlinear Differential Equations by : Piero de Mottoni
Download or read book Nonlinear Differential Equations written by Piero de Mottoni and published by Academic Press. This book was released on 2014-05-10 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Differential Equations: Invariance, Stability, and Bifurcation presents the developments in the qualitative theory of nonlinear differential equations. This book discusses the exchange of mathematical ideas in stability and bifurcation theory. Organized into 26 chapters, this book begins with an overview of the initial value problem for a nonlinear wave equation. This text then focuses on the interplay between stability exchange for a stationary solution and the appearance of bifurcating periodic orbits. Other chapters consider the development of methods for ascertaining stability and boundedness and explore the development of bifurcation and stability analysis in nonlinear models of applied sciences. This book discusses as well nonlinear hyperbolic equations in further contributions, featuring stability properties of periodic and almost periodic solutions. The reader is also introduced to the stability problem of the equilibrium of a chemical network. The final chapter deals with suitable spaces for studying functional equations. This book is a valuable resource for mathematicians.
Book Synopsis Periodic Solutions of Some Nonlinear Boundary Value Problems of Ode's by : Hilary Ogbu Mbadiwe
Download or read book Periodic Solutions of Some Nonlinear Boundary Value Problems of Ode's written by Hilary Ogbu Mbadiwe and published by LAP Lambert Academic Publishing. This book was released on 2011-05 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Existence of periodic solutions for higher order ordinary differential equations by the use of Leray- Schauder fixed-point technique depended mainly on the availability of suitable boundedness results. In some cases however, boundedness results were very difficult to establish because of the nature of the Lyapunov functions involved. In this thesis, existence results have been obtained using the Leray- Schauder fixed point technique and the integrated equations for the more general equations of the form: ... x + f (x]) + a1x? + a2x = p (t) x(4) + g ( ... x) + b1x] + b2x? + b3x = p (t) x(5) + c1x(4) + h x, x?, x], ... x, x(4) ... x + c2x] + c3x? + c4x = p (t) where f = f (]x), g = g ( ... x), h = h"
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.
Book Synopsis Ordinary Differential Equations by : Jack K. Hale
Download or read book Ordinary Differential Equations written by Jack K. Hale and published by Courier Corporation. This book was released on 2009-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.
Book Synopsis Regents' Proceedings by : University of Michigan. Board of Regents
Download or read book Regents' Proceedings written by University of Michigan. Board of Regents and published by . This book was released on 1963 with total page 1872 pages. Available in PDF, EPUB and Kindle. Book excerpt:
