Theory of a Higher-Order Sturm-Liouville Equation / by Vladimir Kozlov, Vladimir Maz'ya.

Format:

Book

Author/Creator:

Kozlov, V. A. (Vladimir Aleksandrovich), author.

Mazʹi︠a︡, V. G., author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1659.

Lecture Notes in Mathematics, 0075-8434 ; 1659

Language:

English

Subjects (All):

Differential equations, Partial.

Partial Differential Equations.

Local Subjects:

Partial Differential Equations.

Physical Description:

1 online resource (XII, 144 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.

System Details:

text file PDF

Summary:

This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order Sturm-Liouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with non-smooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis.

Contents:

Basic equation with constant coefficients

The operator M(? t ) on a semiaxis and an interval

The operator M(? t )??0 with constant ?0

Green's function for the operator M(? t )??(t)

Uniqueness and solvability properties of the operator M(? t ??(t)

Properties of M(? t ??(t) under various assumptions about ?(t)

Asymptotics of solutions at infinity

Application to ordinary differential equations with operator coefficients.

Other Format:

Printed edition:

ISBN:

9783540691228

Access Restriction:

Restricted for use by site license.