Theory of a Higher-Order Sturm-Liouville Equation

1997
ISBN: 978-3-540-63065-4
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1659, 144 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 248 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Maz'ya, Vladimir

Kozlov, Vladimir

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.