V. Kozlov , University of Linköping, Sweden
V. Maz'ya , University of Linköping, Sweden
Theory of a Higher-Order Sturm-Liouville Equation
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.
Ordinary Differential Equations, Partial Differential
Equations, Operator Theory
For graduate students and mathematicians
Contents: 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.
. XI, 140 pp.
Book category: Monograph
Publication language English
(Lecture Notes in Mathematics.
Eds.: A. Dold; F. Takens.
Last update: July 23, 1998
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