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

Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations
Author: R.P. Agarwal
Publisher: Springer Science & Business Media
Total Pages: 685
Release: 2013-03-09
Genre: Mathematics
ISBN: 9401725152

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.

Half-Linear Differential Equations

Half-Linear Differential Equations
Author: Ondrej Dosly
Publisher: Elsevier
Total Pages: 533
Release: 2005-07-06
Genre: Mathematics
ISBN: 0080461239

The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential 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.

Advances in Difference Equations and Discrete Dynamical Systems

Advances in Difference Equations and Discrete Dynamical Systems
Author: Saber Elaydi
Publisher: Springer
Total Pages: 282
Release: 2017-11-13
Genre: Mathematics
ISBN: 9811064091

This volume contains the proceedings of the 22nd International Conference on Difference Equations and Applications, held at Osaka Prefecture University, Osaka, Japan, in July 2016. The conference brought together both experts and novices in the theory and applications of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete dynamical systems with applications to mathematical sciences and, in particular, mathematical biology and economics. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete dynamical systems, and their applications.

Oscillation Theory Of Partial Differential Equations

Oscillation Theory Of Partial Differential Equations
Author: Norio Yoshida
Publisher: World Scientific Publishing Company
Total Pages: 339
Release: 2008-10-13
Genre: Mathematics
ISBN: 9813107375

This unique book is designed to provide the reader with an exposition of interesting aspects — encompassing both rudimentary and advanced knowledge — of oscillation theory of partial differential equations, which dates back to the publication in 1955 of a paper by Ph Hartman and A Wintner. The objective of oscillation theory is to acquire as much information as possible about the qualitative properties of solutions of differential equations through the analysis of laws governing the distribution of zeros of solutions as well as the asymptotic behavior of solutions of differential equations under consideration.This textbook on oscillation theory of partial differential equations is useful for both specialists and graduate students working in the field of differential equations. The book will also help to stimulate further progress in the study of oscillation theory and related subjects.

Advances in Differential and Difference Equations with Applications 2020

Advances in Differential and Difference Equations with Applications 2020
Author: Dumitru Baleanu
Publisher: MDPI
Total Pages: 348
Release: 2021-01-20
Genre: Computers
ISBN: 3039368702

It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

Nonoscillation Theory of Functional Differential Equations with Applications

Nonoscillation Theory of Functional Differential Equations with Applications
Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
Total Pages: 526
Release: 2012-04-23
Genre: Mathematics
ISBN: 1461434556

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.​

Dynamical Systems

Dynamical Systems
Author: Mahmut Reyhanoglu
Publisher: BoD – Books on Demand
Total Pages: 276
Release: 2017-03-15
Genre: Mathematics
ISBN: 9535130153

There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems that arise in science and engineering. This progress has been, to a large extent, due to our increasing ability to mathematically model physical processes and to analyze and solve them, both analytically and numerically. With its eleven chapters, this book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications. The first section consists of seven chapters that focus on analytical techniques, while the next section is composed of four chapters that center on computational techniques.

Differential and Difference Equations with Applications

Differential and Difference Equations with Applications
Author: Sandra Pinelas
Publisher: Springer Science & Business Media
Total Pages: 639
Release: 2013-09-21
Genre: Mathematics
ISBN: 1461473330

The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications.

Recent Advances in Mathematical Analysis

Recent Advances in Mathematical Analysis
Author: Anna Maria Candela
Publisher: Springer Nature
Total Pages: 470
Release: 2023-06-21
Genre: Mathematics
ISBN: 3031200217

This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.