Differential-Operator Equations : Ordinary and Partial Differential Equations book cover
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Differential-Operator Equations
Ordinary and Partial Differential Equations



ISBN 9781584881391
Published November 24, 1999 by Chapman and Hall/CRC
576 Pages

 
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Book 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
  • Table of Contents

    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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    Author(s)

    Biography

    Yakubov, Yakov; Yakubov, Sasun