Theory of a Higher-Order Sturm-Liouville Equation (Lecture Notes in Mathematics, 1659) 1997th Edition by Vladimir Kozlov (PDF)

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    Ebook Info

    • Published: 1997
    • Number of pages: 156 pages
    • Format: PDF
    • File Size: 3.50 MB
    • Authors: Vladimir Kozlov

    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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