Periodic boundary value problems for second-order impulsive integro-differential equations with integral jump conditions

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作者
Chatthai Thaiprayoon
Decha Samana
Jessada Tariboon
机构
[1] King Mongkut’s Institute of Technology Ladkrabang,Department of Mathematics, Faculty of Science
[2] CHE,Centre of Excellence in Mathematics
[3] King Mongkut’s University of Technology North Bangkok,Department of Mathematics, Faculty of Applied Science
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impulsive integro-differential equation; lower and upper solutions; periodic boundary value problem; monotone iterative technique;
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摘要
This paper is concerned with the existence of extremal solutions of periodic boundary value problems for second-order impulsive integro-differential equations with integral jump conditions. We introduce a new definition of lower and upper solutions with integral jump conditions and prove some new maximum principles. The method of lower and upper solutions and the monotone iterative technique are used.
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