Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Guotao Wang Lihong Zhang

Affiliation:	^a School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, PR China ^b Department of Mathematics, China University of Petroleum, Qingdao, Shandong 266555, PR China

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.

Keywords:	Upper and lower solutions Reversed order Monotone iterative method Impulsive differential equations with deviated arguments Nonlinear boundary conditions
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