Oscillation theory of partial differential equations
著者
書誌事項
Oscillation theory of partial differential equations
World Scientific, c2008
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注記
Graduate students
Includes bibliographical references (p. 307-324) and index
収録内容
- Oscillation of elliptic equations
- Oscillation of parabolic equations
- Oscillation of hyperbolic equations
- Oscillation of beam equations
- Functional elliptic equations
- Functional parabolic equations
- Functional hyperbolic equations
- Picone identities and applications
内容説明・目次
内容説明
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.
目次
- Nodal Oscillation of Linear Elliptic Equations
- Oscillation of Elliptic Equations with or without Functional Arguments
- Oscillation of Parabolic Equations with or without Functional Arguments
- Oscillation of Hyperbolic Equations with or without Functional Arguments
- Oscillation of Beam Equations
- Picone Identity
- Picone-Type Inequality
- Riccati Method.Readership: Graduate students and specialists in the field of differential equations, and physicists interested in differential equations.
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