| Full text | |
| Author(s): |
Alves, Claudianor O.
;
Carriao, Paulo C.
;
Faria, Luiz F. O.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 12, n. 4, p. 13-pg., 2011-08-01. |
| Abstract | |
In this paper, we study the existence of homoclinic solutions for the following class of second order ordinary differential equations (ODEs) {-(A(u(t)u'(t))' + u(t) = h(t, u(t)) + g(t, u'(t)), t is an element of R u(+/-infinity) = u'(+/-infinity) = 0, (P) where A, h and g are nonnegative continuous functions. Using Galerkin's Method and assuming additional hypotheses on A, h and g, we show the existence of a homoclinic solution to problem (P). (C) 2011 Elsevier Ltd. All rights reserved. (AU) | |