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.
• Physical Description: XII, 144 p. online resource.
• ISBN: 9783540691228
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0094700

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.