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Author : Morris Yachter
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (555 download)
Download or read book On the Existence of Periodic Solutions of the Differential Equation written by Morris Yachter and published by . This book was released on 1952 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Arthur Harvey
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.:/5 (319 download)
Download or read book Existence of Periodic Solutions of the Differential Equation Ẍ - G(x) written by Charles Arthur Harvey and published by . This book was released on 1960 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Morris Yachter
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (374 download)
Download or read book On the Existence of Periodic Solutions of the Differential Equation: Ẍ+F(x) written by Morris Yachter and published by . This book was released on 1956 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. S. Loud
Publisher : American Mathematical Soc.
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.0/5 ( download)
Download or read book Periodic Solutions of X"+cx'+g(x) written by W. S. Loud and published by American Mathematical Soc.. This book was released on 1959 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albert L. Rabenstein
Publisher : Academic Press
ISBN 13 : 1483226220
Total Pages : 444 pages
Book Rating : 4.4/5 (832 download)
Download or read book Introduction to Ordinary Differential Equations written by Albert L. Rabenstein and published by Academic Press. This book was released on 2014-05-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
Author : A.M. Fink
Publisher : Springer
ISBN 13 : 3540383077
Total Pages : 345 pages
Book Rating : 4.5/5 (43 download)
Download or read book Almost Periodic Differential Equations written by A.M. Fink and published by Springer. This book was released on 2006-11-15 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Svatopluc Fučík
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (217 download)
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:
Author : Drumi Bainov
Publisher : CRC Press
ISBN 13 : 9780582096394
Total Pages : 246 pages
Book Rating : 4.0/5 (963 download)
Download or read book Impulsive Differential Equations written by Drumi Bainov and published by CRC Press. This book was released on 1993-07-05 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impulsive differential equations have been an object of intensive investigation during recent years, due to the wide possibilities for their application in various fields of science and technology. This monograph deals with periodic solutions of impulsive differential equations. Periodic linear impulsive differential equations are studied in detail. The use of the small parameter method in noncritical and critical cases is justified. The question of the existence of periodic solutions of nonlinear impulsive differential equations is discussed and various approximate methods of finding these solutions are justified.
Author : C. De Coster
Publisher : Elsevier
ISBN 13 : 0080462472
Total Pages : 502 pages
Book Rating : 4.0/5 (84 download)
Download or read book Two-Point Boundary Value Problems: Lower and Upper Solutions written by C. De Coster and published by Elsevier. This book was released on 2006-03-21 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction.· Presents the fundamental features of the method· Construction of lower and upper solutions in problems· Working applications and illustrated theorems by examples· Description of the history of the method and Bibliographical notes
Author : Rui J. P. DE Figueriredo
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (227 download)
Download or read book Conditions for the Existence of N Periodic Solutions of Liénard's Equation written by Rui J. P. DE Figueriredo and published by . This book was released on 1973 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conditions are given which guarantee the existence of a prescribed number n of periodic solutions of each of the following two forms of Lienard's real differential equation: (I) d(2)x/dt(2) + f(x)dx/dt + x = 0, and (II) d(2)x/dt(2) + f(x)dx/dt + g(x) = 0. (Author).
Author : Nancy Johnson Brien
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (183 download)
Download or read book Existence of Periodic Solutions in Differential Equations written by Nancy Johnson Brien and published by . This book was released on 1987 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jane Cronin Scanlon
Publisher :
ISBN 13 :
Total Pages : 2 pages
Book Rating : 4.:/5 (227 download)
Download or read book Periodic Solutions of Nonlinear Differential Equations and Solutions of Functional Equations by Topological Methods written by Jane Cronin Scanlon and published by . This book was released on 1965 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem studied is that of the existence of periodic solutions of a system (in vector notation) (E) x = f(x, t) where f has period T in variable t, i.e., a nonautonomous system with 'large' nonlinearities. Previously known results on this problem are largely restricted to the 2dimensional case except for a few results for the 3dimensional case. Results and conclusions reached: A new technique for establishing the existence of periodic solutions of (E) was developed for the 2-dimensional case. The technique consists in studying the behavior of solutions of (E) near the point at infinity by studying the stability of the origin as a critical point of the system obtained by performing an inversion transformation on (E). Practical sufficient conditions for stability and asymptotic stability (i.e., conditions which can be verified by straight-forward computation) were derived. The technique developed for the 2-dimensional case was extended to the n-dimensional case and new existence theorems for periodic solutions were derived. (Document quoted in its entirety).
Author : Jean Marc Belley
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (615 download)
Download or read book Existence of Periodic Solutions to Ordinary Differential Equations written by Jean Marc Belley and published by . This book was released on 1968 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John R Graef
Publisher : World Scientific
ISBN 13 : 9813236477
Total Pages : 177 pages
Book Rating : 4.8/5 (132 download)
Download or read book Ordinary Differential Equations And Boundary Value Problems - Volume I: Advanced Ordinary Differential Equations written by John R Graef and published by World Scientific. This book was released on 2018-02-13 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the book.The authors begin with a study of initial value problems for systems of differential equations including the Picard and Peano existence theorems. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. This is followed by a discussion of the differentiability of solutions with respect to initial conditions and with respect to parameters. Comparison results and differential inequalities are included as well.Linear systems of differential equations are treated in detail as is appropriate for a study of ODEs at this level. Just the right amount of basic properties of matrices are introduced to facilitate the observation of matrix systems and especially those with constant coefficients. Floquet theory for linear periodic systems is presented and used to analyze nonhomogeneous linear systems.Stability theory of first order and vector linear systems are considered. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples as is the stability of vector linear systems. The book concludes with a chapter on perturbed systems of ODEs.
Author : Gaston Demarée
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (755 download)
Download or read book An Estimate of the Error in the Approximate Periodic Solution of the Nonlinear Differential Equation L (D) X + F ( X ) written by Gaston Demarée and published by . This book was released on 1974 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Wiener
Publisher : World Scientific
ISBN 13 : 9789810212070
Total Pages : 428 pages
Book Rating : 4.2/5 (12 download)
Download or read book Generalized Solutions of Functional Differential Equations written by Joseph Wiener and published by World Scientific. This book was released on 1993 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to investigate functional differential equations with discontinuous delays is addressed in this book. Recording the work and findings of several scientists on differential equations with piecewise continuous arguments over the last few years, this book serves as a useful source of reference. Great interest is placed on discussing the stability, oscillation and periodic properties of the solutions. Considerable attention is also given to the study of initial and boundary-value problems for partial differential equations of mathematical physics with discontinuous time delays. In fact, a large part of the book is devoted to the exploration of differential and functional differential equations in spaces of generalized functions (distributions) and contains a wealth of new information in this area. Each topic discussed appears to provide ample opportunity for extending the known results. A list of new research topics and open problems is also included as an update.
Author : Lamberto Cesari
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4./5 ( download)
Download or read book A criterion for the existence in a strip of periodic solutions of hyperbolic partial differential equations written by Lamberto Cesari and published by . This book was released on 1964 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
