Información General

• Autores: Vladimir Kozlov, Vladimir G. Maz'ya
• Editores: Berlin : Springer-Verlag, cop. 1997
• Año de publicación: 1997
• País: Alemania
• Idioma: inglés
• ISBN: 3-540-63065-1
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Resumen

• 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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Índice

• Introduction.- Basic Equations with Constant Coefficients.- The operator M (dt) on a Semiaxis.- The operator M (dt) - w0 with Constant w0.- Green's Function for the Operator M (dt) - w (t).- Uniqueness and Solvability Properties of the Operator M (dt) - w (t).- Properties of M (dt) - w (t) under Various Assumptions about w (t).- Asymptotics of Solutions at Infinity.- Appendix: Application to Ordinary Differential Equation with Operator Coefficients.