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Author : Karl P. Hadeler
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (755 download)
Download or read book Periodic solutions of scalar first order differential equations written by Karl P. Hadeler and published by . This book was released on 1991 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karl Peter Hadeler
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (257 download)
Download or read book Periodic Solutions of Scalar First Order Differential Equations written by Karl Peter Hadeler and published by . This book was released on 1990 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alessandro Fonda
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.F/5 ( download)
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:
Author : Seshadev Padhi
Publisher : Springer
ISBN 13 : 8132218957
Total Pages : 155 pages
Book Rating : 4.1/5 (322 download)
Download or read book Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics written by Seshadev Padhi and published by Springer. This book was released on 2014-05-09 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates how the Leggett-Williams fixed-point theorem can be applied to study the existence of two or three positive periodic solutions of functional differential equations with real-world applications, particularly with regard to the Lasota-Wazewska model, the Hematopoiesis model, the Nicholsons Blowflies model, and some models with Allee effects. Many interesting sufficient conditions are given for the dynamics that include nonlinear characteristics exhibited by population models. The last chapter provides results related to the global appeal of solutions to the models considered in the earlier chapters. The techniques used in this book can be easily understood by anyone with a basic knowledge of analysis. This book offers a valuable reference guide for students and researchers in the field of differential equations with applications to biology, ecology, and the environment.
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 : A. Sandqvist
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (897 download)
Download or read book Qualitive Behaviour of the Solutions of Periodic First Order Scalar Differential Equations with Weakly Concave Nonlinearity written by A. Sandqvist and published by . This book was released on 1990 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Allan Sandqvist
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (461 download)
Download or read book Qualitative Behaviour of the Solutions of Periodic First Order Scalar Differential Equations with Weakly Concave Nonlinearity written by Allan Sandqvist and published by . This book was released on 1990 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Mawhin
Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (768 download)
Download or read book Qualitative Behavior of the Solutions of Periodic First Order Scalar Differential Equations with Strictly Convex Coercive Nonlinearity written by J. Mawhin and published by . This book was released on 1986 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Download or read book Mat-report written by and published by . This book was released on 1990 with total page 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 : Seshadev Padhi
Publisher : Springer
ISBN 13 : 9788132218944
Total Pages : 0 pages
Book Rating : 4.2/5 (189 download)
Download or read book Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics written by Seshadev Padhi and published by Springer. This book was released on 2014-05-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates how the Leggett-Williams fixed-point theorem can be applied to study the existence of two or three positive periodic solutions of functional differential equations with real-world applications, particularly with regard to the Lasota-Wazewska model, the Hematopoiesis model, the Nicholsons Blowflies model, and some models with Allee effects. Many interesting sufficient conditions are given for the dynamics that include nonlinear characteristics exhibited by population models. The last chapter provides results related to the global appeal of solutions to the models considered in the earlier chapters. The techniques used in this book can be easily understood by anyone with a basic knowledge of analysis. This book offers a valuable reference guide for students and researchers in the field of differential equations with applications to biology, ecology, and the environment.
Author : Harry Hochstadt
Publisher : Courier Corporation
ISBN 13 : 0486167674
Total Pages : 322 pages
Book Rating : 4.4/5 (861 download)
Download or read book Differential Equations written by Harry Hochstadt and published by Courier Corporation. This book was released on 2014-05-05 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVModern approach presents subject in terms of ideas and concepts rather than special cases and tricks. 134 problems. Preface. Index. /div
Author : T. A. Burton
Publisher : Courier Corporation
ISBN 13 : 0486150453
Total Pages : 370 pages
Book Rating : 4.4/5 (861 download)
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.
Author : David A. Sánchez
Publisher : Courier Corporation
ISBN 13 : 0486638286
Total Pages : 194 pages
Book Rating : 4.4/5 (866 download)
Download or read book Ordinary Differential Equations and Stability Theory written by David A. Sánchez and published by Courier Corporation. This book was released on 1979-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.
Author : Fred Brauer
Publisher : Courier Corporation
ISBN 13 : 9780486658469
Total Pages : 340 pages
Book Rating : 4.6/5 (584 download)
Download or read book The Qualitative Theory of Ordinary Differential Equations written by Fred Brauer and published by Courier Corporation. This book was released on 1989-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a very good book ... with many well-chosen examples and illustrations." — American Mathematical Monthly This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra. In addition, algebraic results are stated as needed; the less familiar ones are proved either in the text or in appendixes. The topics covered in the first three chapters are the standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. The next three chapters, the heart of the book, deal with stability theory and some applications, such as oscillation phenomena, self-excited oscillations and the regulator problem of Lurie. One of the special features of this work is its abundance of exercises-routine computations, completions of mathematical arguments, extensions of theorems and applications to physical problems. Moreover, they are found in the body of the text where they naturally occur, offering students substantial aid in understanding the ideas and concepts discussed. The level is intended for students ranging from juniors to first-year graduate students in mathematics, physics or engineering; however, the book is also ideal for a one-semester undergraduate course in ordinary differential equations, or for engineers in need of a course in state space methods.
Author : Lloyd N. Trefethen
Publisher : SIAM
ISBN 13 : 1611975166
Total Pages : 343 pages
Book Rating : 4.6/5 (119 download)
Download or read book Exploring ODEs written by Lloyd N. Trefethen and published by SIAM. This book was released on 2017-12-21 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.?
