Quasilinearization method for first-order impulsive integro-differential equations
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Date
2019-03-30
Authors
Wang, Peiguang
Li, Chongrui
Zhang, Juan
Li, Tongxing
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Impulsive integro-differential equations, Quasilinearization, Integral boundary conditions, Quadratic convergence, Upper and lower solutions
Citation
Wang, P., Li, C., Zhang, J., & Li, T. (2019). Quasilinearization method for first-order impulsive integro-differential equations. <i>Electronic Journal of Differential Equations, 2019</i>(46), pp. 1-14.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.