Theory of a Higher-Order Sturm-Liouville Equation - Kozlov, Vladimir; Maz'ya, Vladimir G.
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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…mehr

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.
  • Produktdetails
  • Lecture Notes in Mathematics Vol.1659
  • Verlag: Springer, Berlin
  • 1997.
  • Seitenzahl: 156
  • Erscheinungstermin: 17. Juli 1997
  • Englisch
  • Abmessung: 235mm x 155mm x 8mm
  • 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.