Peiguang Wang, Chongrui Li, Juan Zhang, Tongxing Li
Abstract:
In this article we study first-order impulsive integro-differential equations
with integral boundary conditions, employing the method of quasilinearization
with reversed ordering upper and lower solutions.
We obtain two monotone sequences of iterates converging uniformly and
quadratically to the unique solution of the problem.
Two examples are given to illustrate the applications of the established results.
Submitted February 26, 2018. Published March 30, 2019.
Math Subject Classifications: 34D20, 34A37.
Key Words: Impulsive integro-differential equations; quasilinearization;
integral boundary conditions; quadratic convergence; upper and lower solutions.
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Peiguang Wang College of Mathematics and Information Science Hebei University Baoding, Hebei 071002, China email: pgwang@hbu.edu.cn |
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Chongrui Li College of Mathematics and Information Science Hebei University Baoding, Hebei 071002, China email: 1065265114@qq.com |
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Juan Zhang College of Mathematics and Information Science Hebei University Baoding, Hebei 071002, China email: smaths@hbu.edu.cn |
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Tongxing Li School of Information Science and Engineering Linyi University Linyi, Shandong 276005, China email: litongx2007@163.com |
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