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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. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis.
Buchkauf
Theory of a higher order Sturm-Liouville equation, Vladimir Kozlov
- Sprache
- Erscheinungsdatum
- 1997
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- Titel
- Theory of a higher order Sturm-Liouville equation
- Sprache
- Englisch
- Autor*innen
- Vladimir Kozlov
- Verlag
- Springer
- Erscheinungsdatum
- 1997
- ISBN10
- 3540630651
- ISBN13
- 9783540630654
- Kategorie
- Mathematik
- Beschreibung
- 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.