Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order

Authors:
Guotao Wang;Lihong Zhang;Guangxing Song
Affiliations:
School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, PR China;School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, PR China;Department of Mathematics, China University of Petroleum, Qingdao, Shandong 266555, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

This paper studies the existence of solutions of first order impulsive functional differential equations with lower and upper solutions in the reversed order, obtains the sufficient conditions for the existence of solutions by establishing a new comparison principle and using the monotone iterative technique. A concrete example is presented and solved to illustrate the obtained results.