Lecture Notes in Mathematics

Kozlov, Vladimir; Maz'ya, Vladimir

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.

Details

Published by: Springer

Publication Date: 1997-07-17

Format: Paperback

ISBN-13: 9783540630654

DOI: 10.1007/BFb0094700

Dimensions: 235cm x155cm

Pages: 144