V. Kozlov , University of Linköping, Sweden V. Maz'ya , University of Linköping, Sweden
Theory of a HigherOrder SturmLiouville Equation
This book develops a detailed theory of a generalized SturmLiouville 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 higherorder SturmLiouville
equation also proved to have important applications to differential equations
with operator coefficients and elliptic boundary value problems for domains with
nonsmooth 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.
1997
. XI, 140 pp.
ISBN 3540630651
Softcover
DM 44,
Available
Book category: Monograph
Publication language English
(Lecture Notes in Mathematics.
Eds.: A. Dold; F. Takens.
Vol. 1659)
Last update: July 23, 1998
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