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Autore: | Kozlov Vladimir <1954-> |
Titolo: | Theory of a higher order Sturm-Liouville equation / / Vladimir Kozlov, Vladimir Maz'ya |
Pubblicazione: | Berlin, Heidelberg : , : Springer-Verlag, , [1997] |
©1997 | |
Edizione: | 1st ed. 1997. |
Descrizione fisica: | 1 online resource (XII, 144 p.) |
Disciplina: | 515.35 |
Soggetto topico: | Sturm-Liouville equation |
Persona (resp. second.): | Mazʹi︠a︡V. G. |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di contenuto: | 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. |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Theory of a higher-order Sturm-Liouville equation |
ISBN: | 3-540-69122-7 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996466576603316 |
Lo trovi qui: | Univ. di Salerno |
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