Atlas home ||
Conferences |
Abstracts |
about Atlas
Southeastern-Atlantic Regional Conference on Differential Equations
October 19-20, 2007
Murray State University
Murray, Kentucky, USA |
|
Organizers
K. Renee Fister, Maeve McCarthy
View Abstracts
Conference Homepage |
Third Order Boundary Value Problems on an Unbounded Domain
by
Merlin Kamgue
Department of Mathematics and Statistics UALR Little Rock, AR 72204-1099, USA
Coauthors: Nickolai Kosmatov
Abstract
We consider the third order nonlinear differential equation
|
(p(t)u'(t))" = f(t, u(t), u'(t), u"(t)), a. e. in (0, ∞), |
|
satisfying the boundary condition:
|
u(0)=u'(0) = 0, |
lim
t → ∞
|
u(t) = au(b) |
|
where f: [0, ∞) ×R3 → R is
Carathéodory with respect to L1[0, ∞), p ∈ C[0, ∞)∩C2(0, ∞) and p(t) ≥ 0 for all t ≥ 0. We obtain
the existence of at least one solution using the Leray-Schauder
Continuation Principle.
PDF
Date received: September 18, 2007
Copyright © 2007 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # cavc-27.