Differential-operator equations : ordinary and partial differential equations
著者
書誌事項
Differential-operator equations : ordinary and partial differential equations
(Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 103)
Chapman & Hall/CRC, c2000
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注記
Includes bibliographical references (p. 514-530) and indexes
内容説明・目次
内容説明
The theory of differential-operator equations is one of two modern theories for the study of both ordinary and partial differential equations, with numerous applications in mechanics and theoretical physics. Although a number of published works address differential-operator equations of the first and second orders, to date none offer a treatment of the higher orders.
In Differential-Operator Equations, the authors present a systematic treatment of the theory of differential-operator equations of higher order, with applications to partial differential equations. They construct a theory that allows application to both regular and irregular differential problems. In particular, they study problems that cannot be solved by various known methods and irregular problems not addressed in existing monographs. These include Birkhoff-irregularity, non-local boundary value conditions, and non-smoothness of the boundary of the domains.
Among this volume's other points of interest are:
The Abel basis property of a system of root functions
Irregular boundary value problems
The theory of hyperbolic equations in Gevrey space
The theory of boundary value problems for elliptic differential equations with a parameter
目次
Introduction
Auxiliary Results
Completeness and the Abel Basis Property of a System of Root Vectors
Principally Boundary Value Problems for Ordinary Differential Equations with a Polynomial Parameter
Principally Regular Elliptic Boundary Value Problems with a Polynomial Parameter
Elliptic Differential-Operator Equations
Hyperbolic Differential-Operator Equations
Parabolic Differential-Operator Equations
Well-Posed Problems for Partial Differential Equations
Problems
Reference Notes
References
List of Notations
Subject Index
Author Index
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