Author : Vladimir Kozlov
Release : 2006-11-13
Genre : Mathematics
Kind : eBook
Book Rating : 227/5 ( reviews)
Book Synopsis Theory of a Higher-Order Sturm-Liouville Equation by : Vladimir Kozlov
Download or read book Theory of a Higher-Order Sturm-Liouville Equation written by Vladimir Kozlov. This book was released on 2006-11-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.