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Theory of a higher-order Sturm-Liouville equation

✍ Scribed by Vladimir Kozlov, Vladimir Maz'ya

Book ID
127399894
Publisher
Springer
Year
1997
Tongue
English
Weight
748 KB
Series
Lecture notes in mathematics 1659 0075-8434
Edition
1
Category
Library
City
Berlin; New York
ISBN-13
9783540630654

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Factorization of disconjugate higher-ord
Factorization of disconjugate higher-order Sturm-Liouville difference operators
✍ O. DosΛ‡lΓ½ πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 400 KB

Using a recently proved equivalence between disconjugacy of the 2nth-order difference equation tt v--'--O and solvability of the correeponding Riccati matrix difference equation, it is shown that the equation L(I/) = 0 is di~onjugate on a given interval if and only if the operator L admits the facto