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Theory of a Higher-Order Sturm-Liouville Equation

Vladimir KozlovVladimir Maz'ya

出版	Springer Berlin Heidelberg, 2014-03-12
主題	Mathematics / Differential Equations / General
ISBN	36621917929783662191798
URL	http://books.google.com.hk/books?id=aJIOswEACAAJ&hl=&source=gbs_api

註釋

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.