Multi-point boundary value problems for second-order functional differential equations

Authors:
Weibing Wang;Jianhua Shen;Zhiguo Luo
Affiliations:
Department of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan, 411201, PR China;Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, PR China and Department of Mathematics, College of Huaihua, Huaihua, Hunan, 418008, PR China;Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, PR China
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

This paper is concerned with the existence of extreme solutions of multi-point boundary value problem for a class of second-order functional differential equations. We introduce a new concept of lower and upper solutions. By using the method of upper and lower solutions and monotone iterative technique, we obtain the existence of extreme solutions.