Affiliation:
1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Abstract
In this paper, we consider the existence of extremal solutions for the nonlinear fourth-order differential equation. By use of a new comparison result, some sufficient conditions for the existence of extremal solutions are established by combining the monotone iterative technique and the methods of lower and upper solutions. Finally, an example is given to illustrate the validity of our main results.
Funder
National Natural Science Foundation of China
Shandong Natural Science Foundation
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis