
Differential-Operator Equations
Ordinary and Partial Differential Equations
CRC Press
1st Edition
Published on 24. November 1999
Book
Hardback
576 pages
978-1-58488-139-1 (ISBN)
Description
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
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
More details
Series
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Professional and scholarly
Professional
Dimensions
Height: 234 mm
Width: 156 mm
Weight
992 gr
ISBN-13
978-1-58488-139-1 (9781584881391)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Yakubov, Yakov; Yakubov, Sasun
Content
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
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