Vladimir Kozlov, Vladimir Maz'ya

Theory of a Higher-Order Sturm-Liouville Equation (eBook, PDF)

• Format: PDF

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 144
• Erscheinungstermin: 13. November 2006
• Englisch
• ISBN-13: 9783540691228
• Artikelnr.: 53149096

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.