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Record Nr. |
UNISA996466576603316 |
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Autore |
Kozlov Vladimir <1954-> |
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Titolo |
Theory of a higher order Sturm-Liouville equation / / Vladimir Kozlov, Vladimir Maz'ya |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer-Verlag, , [1997] |
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©1997 |
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ISBN |
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Edizione |
[1st ed. 1997.] |
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Descrizione fisica |
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1 online resource (XII, 144 p.) |
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Collana |
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Lecture Notes in Mathematics ; ; 1659 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Basic equation with constant coefficients -- The operator M(? t ) on a semiaxis and an interval -- The operator M(? t )??0 with constant ?0 -- Green's function for the operator M(? t )??(t) -- Uniqueness and solvability properties of the operator M(? t ??(t) -- Properties of M(? t ??(t) under various assumptions about ?(t) -- Asymptotics of solutions at infinity -- Application to ordinary differential equations with operator coefficients. |
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Sommario/riassunto |
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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. |
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