Half Linear Differential Equations

Author : Ondrej Dosly,Pavel Rehak
Publisher : Elsevier
Page : 533 pages
File Size : 51,8 Mb
Release : 2005-07-06
Category : Mathematics
ISBN : 9780080461236

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Half-Linear Differential Equations by Ondrej Dosly,Pavel Rehak Pdf

The book presents a systematic and compact treatment of the qualitative theory of half-linear differential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE’s with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations. - The first complete treatment of the qualitative theory of half-linear differential equations. - Comparison of linear and half-linear theory. - Systematic approach to half-linear oscillation and asymptotic theory. - Comprehensive bibliography and index. - Useful as a reference book in the topic.

Author : R.P. Agarwal,Said R. Grace,Donal O'Regan
Publisher : Springer Science & Business Media
Page : 700 pages
File Size : 46,7 Mb
Release : 2002-07-31
Category : Mathematics
ISBN : 1402008023

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Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations by R.P. Agarwal,Said R. Grace,Donal O'Regan Pdf

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.

Author : R.P. Agarwal,Said R. Grace,Donal O'Regan
Publisher : Springer Science & Business Media
Page : 685 pages
File Size : 41,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401725156

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Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations by R.P. Agarwal,Said R. Grace,Donal O'Regan Pdf

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.

Author : A. Canada,P. Drabek,A. Fonda
Publisher : Elsevier
Page : 709 pages
File Size : 41,6 Mb
Release : 2004-09-09
Category : Mathematics
ISBN : 9780080532820

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Handbook of Differential Equations: Ordinary Differential Equations by A. Canada,P. Drabek,A. Fonda Pdf

The book contains seven survey papers about ordinary differential equations.The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.

Author : François Treves
Publisher : Academic Press
Page : 493 pages
File Size : 48,5 Mb
Release : 1975-08-08
Category : Mathematics
ISBN : 9780080880259

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Basic Linear Partial Differential Equations by François Treves Pdf

Basic Linear Partial Differential Equations

Author : Ravi P. Agarwal
Publisher : Hindawi Publishing Corporation
Page : 977 pages
File Size : 53,8 Mb
Release : 2005
Category : Difference Equations
ISBN : 9789775945198

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Discrete Oscillation Theory by Ravi P. Agarwal Pdf

This book is devoted to a rapidly developing branch of the qualitative theory of difference equations with or without delays. It presents the theory of oscillation of difference equations, exhibiting classical as well as very recent results in that area. While there are several books on difference equations and also on oscillation theory for ordinary differential equations, there is until now no book devoted solely to oscillation theory for difference equations. This book is filling the gap, and it can easily be used as an encyclopedia and reference tool for discrete oscillation theory. In nine chapters, the book covers a wide range of subjects, including oscillation theory for second-order linear difference equations, systems of difference equations, half-linear difference equations, nonlinear difference equations, neutral difference equations, delay difference equations, and differential equations with piecewise constant arguments. This book summarizes almost 300 recent research papers and hence covers all aspects of discrete oscillation theory that have been discussed in recent journal articles. The presented theory is illustrated with 121 examples throughout the book. Each chapter concludes with a section that is devoted to notes and bibliographical and historical remarks. The book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. Besides serving as a reference tool for researchers in difference equations, this book can also be easily used as a textbook for undergraduate or graduate classes. It is written at a level easy to understand for college students who have had courses in calculus.

Author : Ravi P. Agarwal,Leonid Berezansky,Elena Braverman,Alexander Domoshnitsky
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 44,8 Mb
Release : 2012-04-23
Category : Mathematics
ISBN : 9781461434559

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Nonoscillation Theory of Functional Differential Equations with Applications by Ravi P. Agarwal,Leonid Berezansky,Elena Braverman,Alexander Domoshnitsky Pdf

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.​

Author : Haim Brezis
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 43,9 Mb
Release : 2010-11-02
Category : Mathematics
ISBN : 9780387709147

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Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis Pdf

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Author : Saber N. Elaydi,Jerry Popenda,Jerry Rakowski
Publisher : CRC Press
Page : 428 pages
File Size : 40,7 Mb
Release : 2000-07-06
Category : Mathematics
ISBN : 9781482283334

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Communications in Difference Equations by Saber N. Elaydi,Jerry Popenda,Jerry Rakowski Pdf

This collection of carefully refereed and edited papers were originally presented at the Fourth International Conference on Difference Equations held in Poznan, Poland. Contributions were from a diverse group of researchers from several countries and featured discussions on the theory of difference equations, open problems and conjectures, as well as related applications. Whether new to the area of research, or a veteran, this volume will be a valuable resource on the recent advances in the field of difference equations.

Author : Ravi P. Agarwal,Martin Bohner,Abdullah Özbekler
Publisher : Springer Nature
Page : 607 pages
File Size : 54,9 Mb
Release : 2021-04-12
Category : Mathematics
ISBN : 9783030690298

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Lyapunov Inequalities and Applications by Ravi P. Agarwal,Martin Bohner,Abdullah Özbekler Pdf

This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic. In an elegant and didactic way, this work presents the concepts underlying Lyapunov-type inequalities, covering how they developed and what kind of problems they address. This survey starts by introducing basic applications of Lyapunov’s inequalities. It then advances towards even-order, odd-order, and higher-order boundary value problems; Lyapunov and Hartman-type inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities; partial differential equations; linear difference equations; and Lyapunov-type inequalities for linear, half-linear, and nonlinear dynamic equations on time scales, as well as linear Hamiltonian dynamic systems. Senior undergraduate students and graduate students of mathematics, engineering, and science will benefit most from this book, as well as researchers in the areas of ordinary differential equations, partial differential equations, difference equations, and dynamic equations. Some background in calculus, ordinary and partial differential equations, and difference equations is recommended for full enjoyment of the content.

Author : Frantisek Neuman
Publisher : Springer
Page : 344 pages
File Size : 50,7 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015029206920

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Global Properties of Linear Ordinary Differential Equations by Frantisek Neuman Pdf

This volume presents an authoritative, unified overview of the methods and results concerning the global properties of linear differential equations of order n (n>=2). It does not, however, seek to be comprehensive. Rather, it contains a selection of results which richly illustrate the unified approach presented. By making use of recent methods and results from many different areas of mathematics and by introducing several original methods, global solutions of problems previously studied only locally are given. The structure of global transformations is described algebraically, and a new geometrical approach is introduced which leads to global canonical forms suitable for Cartan's moving frame-of-reference method. The theory discussed also provides effective tools for solving some open problems, especially relating to the distribution of zeros of solutions. In addition, the theory of functional equations plays an important role in studying the asymptotic behaviour of solutions. Applications to differential geometry and functional equations are also described. The volume is largely self-contained. This book is for mathematicians, computer scientists, physicists, chemists, engineers, and others whose work involves the use of linear differential equations.

Author : V. Lakshmikantham
Publisher : Springer Science & Business Media
Page : 618 pages
File Size : 46,9 Mb
Release : 2003
Category : Mathematical analysis
ISBN : 1402017111

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Nonlinear Analysis and Applications by V. Lakshmikantham Pdf

Author : Paul Mason Batchelder
Publisher : Unknown
Page : 252 pages
File Size : 41,7 Mb
Release : 1927
Category : Difference equations
ISBN : STANFORD:36105031265171

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An Introduction to Linear Difference Equations by Paul Mason Batchelder Pdf

Author : Tyn Myint-U,Lokenath Debnath
Publisher : Springer Science & Business Media
Page : 778 pages
File Size : 43,9 Mb
Release : 2007-04-05
Category : Mathematics
ISBN : 9780817645601

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Linear Partial Differential Equations for Scientists and Engineers by Tyn Myint-U,Lokenath Debnath Pdf

This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.

Author : Edgar Girard Croker Poole
Publisher : Unknown
Page : 220 pages
File Size : 47,7 Mb
Release : 1960
Category : Mathematics
ISBN : UOM:39015000979206

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Introduction to the Theory of Linear Differential Equations by Edgar Girard Croker Poole Pdf