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Oscillation Theory of Partial Differential Equations

2008 Mathematics
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Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 431/5 ( reviews)

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Book Synopsis Oscillation Theory of Partial Differential Equations by : Norio Yoshida

Download or read book Oscillation Theory of Partial Differential Equations written by Norio Yoshida. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Oscillation Theory for Neutral Differential Equations with Delay

1991-01-01 Mathematics
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Release : 1991-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 428/5 ( reviews)

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Book Synopsis Oscillation Theory for Neutral Differential Equations with Delay by : D.D Bainov

Download or read book Oscillation Theory for Neutral Differential Equations with Delay written by D.D Bainov. This book was released on 1991-01-01. Available in PDF, EPUB and Kindle. Book excerpt: With neutral differential equations, any lack of smoothness in initial conditions is not damped and so they have proven to be difficult to solve. Until now, there has been little information to help with this problem. Oscillation Theory for Neutral Differential Equations with Delay fills a vacuum in qualitative theory of functional differential equations of neutral type. With much of the presented material previously unavailable outside Eastern Europe, this authoritative book provides a stimulus to research the oscillatory and asymptotic properties of these equations. It examines equations of first, second, and higher orders as well as the asymptotic behavior for tending toward infinity. These results are then generalized for partial differential equations of neutral type. The book also describes the historical development of the field and discusses applications in mathematical models of processes and phenomena in physics, electrical control and engineering, physical chemistry, and mathematical biology. This book is an important tool not only for mathematicians, but also for specialists in many fields including physicists, engineers, and biologists. It may be used as a graduate-level textbook or as a reference book for a wide range of subjects, from radiophysics to electrical and control engineering to biological science.

Comparison and Oscillation Theory of Linear Differential Equations

2016-06-03 Mathematics
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Release : 2016-06-03
Genre : Mathematics
Kind : eBook
Book Rating : 672/5 ( reviews)

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Book Synopsis Comparison and Oscillation Theory of Linear Differential Equations by : C. A. Swanson

Download or read book Comparison and Oscillation Theory of Linear Differential Equations written by C. A. Swanson. This book was released on 2016-06-03. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in Science and Engineering, Volume 48: Comparison and Oscillation Theory of Linear Differential Equations deals primarily with the zeros of solutions of linear differential equations. This volume contains five chapters. Chapter 1 focuses on comparison theorems for second order equations, while Chapter 2 treats oscillation and nonoscillation theorems for second order equations. Separation, comparison, and oscillation theorems for fourth order equations are covered in Chapter 3. In Chapter 4, ordinary equations and systems of differential equations are reviewed. The last chapter discusses the result of the first analog of a Sturm-type comparison theorem for an elliptic partial differential equation. This publication is intended for college seniors or beginning graduate students who are well-acquainted with advanced calculus, complex analysis, linear algebra, and linear differential equations.

Oscillation Theory Of Operator-differential Equations

1995-08-31 Mathematics
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Release : 1995-08-31
Genre : Mathematics
Kind : eBook
Book Rating : 250/5 ( reviews)

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Book Synopsis Oscillation Theory Of Operator-differential Equations by : Drumi D Bainov

Download or read book Oscillation Theory Of Operator-differential Equations written by Drumi D Bainov. This book was released on 1995-08-31. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors aim at expounding a sufficiently rich oscillation theory and asymptotic theory of operator-differential equations. This book will be of interest not only to mathematicians, but also to experts in other areas of science and technology due to the numerous applications of the results discussed in the book.

Oscillation Theory for Functional Differential Equations

2017-10-02 Mathematics
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Release : 2017-10-02
Genre : Mathematics
Kind : eBook
Book Rating : 311/5 ( reviews)

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Book Synopsis Oscillation Theory for Functional Differential Equations by : Lynn Erbe

Download or read book Oscillation Theory for Functional Differential Equations written by Lynn Erbe. This book was released on 2017-10-02. Available in PDF, EPUB and Kindle. Book excerpt: Examines developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, presenting basic oscillation theory as well as recent results. The book shows how to extend the techniques for boundary value problems of ordinary differential equations to those of functional differential equations.

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