02871nam 2200589 450 991014628740332120220421210433.03-540-69122-710.1007/BFb0094700(CKB)1000000000437354(SSID)ssj0000327213(PQKBManifestationID)12080141(PQKBTitleCode)TC0000327213(PQKBWorkID)10299545(PQKB)10812626(DE-He213)978-3-540-69122-8(MiAaPQ)EBC5590700(MiAaPQ)EBC6691488(Au-PeEL)EBL5590700(OCoLC)1066189735(Au-PeEL)EBL6691488(PPN)155204041(EXLCZ)99100000000043735420220421d1997 uy 0engurnn|008mamaatxtccrTheory of a higher order Sturm-Liouville equation /Vladimir Kozlov, Vladimir Maz'ya1st ed. 1997.Berlin, Heidelberg :Springer-Verlag,[1997]©19971 online resource (XII, 144 p.) Lecture Notes in Mathematics ;1659Bibliographic Level Mode of Issuance: Monograph3-540-63065-1 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.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.Lecture notes in mathematics (Springer-Verlag) ;1659.Sturm-Liouville equationSturm-Liouville equation.515.35Kozlov Vladimir1954-61895Mazʹi︠a︡ V. G.MiAaPQMiAaPQMiAaPQBOOK9910146287403321Theory of a higher-order Sturm-Liouville equation374784UNINA