Vladimir Kozlov, Vladimir G. Maz'ya

Theory of a Higher-Order Sturm-Liouville Equation

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 1659
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-63065-4
• 1997.
• Seitenzahl: 156
• Erscheinungstermin: 17. Juli 1997
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 266g
• ISBN-13: 9783540630654
• ISBN-10: 3540630651
• Artikelnr.: 23885384

Inhaltsangabe

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.