International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 11, Pages 783-788
doi:10.1155/S0161171200003057
Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems
Department of Mathematics, Northwest Normal University, Gansu, Lanzhou 730070, China
Received 30 March 1998
Copyright © 2000 Ruyun Ma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Let G and f:[0,1]×ℝ4→ℝ be two functions satisfying Caratheodory conditions. This paper is
concerned with the problems of existence and uniqueness of
solutions for the nonlinear fourth-order ordinary differential
equation y′′′′+λy′′+ky+G(x,y,y′,y′′,y′′′)=f(x,y,y′,y′′,y′′′) with one of a particular set of boundary
conditions.