International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 12536, 13 pages
doi:10.1155/2007/12536
Convergence of solutions of certain fourth-order nonlinear differential equations
B.S. Ogundare1
and G.E. Okecha2
1Department of Mathematics, Obafemi Awolowo University, Ile-Ife 220005, Nigeria
2Department of Pure and Applied Mathematics, University of Fort Hare, Alice 5700, South Africa
Abstract
We give sufficient criteria for the existence of convergence of solutions for a certain class of fourth-order nonlinear differential equations using Lyapunov's second method. A complete Lyapunov function is employed in this work which makes the results to include and improve some existing results in literature.