Theory of a Higher-Order Sturm-Liouville Equation

• Main Authors: Kozlov, Vladimir (Author, http://id.loc.gov/vocabulary/relators/aut), Maz'ya, Vladimir (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1659
• Subjects: Partial differential equations.; Partial Differential Equations.

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 St...

Table of 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.