Theory of a higher order Sturm-Liouville equation / / Vladimir Kozlov, Vladimir Maz'ya

• Autore: Kozlov Vladimir <1954->
• 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.: 9910146287403321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1659.