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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Wang, Guotao¹  Zhang, Lihong¹  Song, Guangxing² 

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[2] China Univ Petr, Dept Math, Qingdao 266555, Shandong, Peoples R China

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

DOI  :  10.1016/j.cam.2010.06.014

来源: Elsevier

【 摘 要 】

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. (c) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

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