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Theory of a Higher-Order Sturm-Liouville Equation, Paperback / softback Book

Theory of a Higher-Order Sturm-Liouville Equation Paperback / softback

Part of the Lecture Notes in Mathematics series

Paperback / softback

Description

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.

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