Theory of a Higher-Order Sturm-Liouville Equation |
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| Author:
| Kozlov, Vladimir
Maz'ya, Vladimir G. |
| Editor:
| Dold, A.
Takens, F. |
| Series title: | Lecture Notes in Mathematics Ser. |
| ISBN: | 978-3-540-63065-4 |
| Publication Date: | Jan 1997 |
| Publisher: | Springer
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| Book Format: | Paperback |
| List Price: | AUD $79.95 |
Book Description:
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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....
More DescriptionThis 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.