EXISTENCE, UNIQUENESS, AND STABILITY FOR A CLASS OF DIFFUSION-PROBLEMS

Authors
GARNER JB SCHILLING RJ
Citation
Jb. Garner et Rj. Schilling, EXISTENCE, UNIQUENESS, AND STABILITY FOR A CLASS OF DIFFUSION-PROBLEMS, Applied mathematics and computation, 65(1-3), 1994, pp. 161-169
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
65
Issue
1-3
Year of publication
1994
Pages
161 - 169
Database
ISI
SICI code
0096-3003(1994)65:1-3<161:EUASFA>2.0.ZU;2-N
Abstract
Singular boundary value problems are used to model diffusion of a spec imen in a nonhomogeneous environment. Existence and uniqueness results are obtained by establishing a priori bounds for all solutions and th en applying a shooting technique to appropriate initial value problems . Asymptotic stability results are obtained by constructing an appropr iate Lyapunov function and deriving differential inequalities to be sa tisfied by the parameters of the problem.