Wang, PeiguangLi, ChongruiZhang, JuanLi, Tongxing2021-11-052021-11-052019-03-30Wang, 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. 1-14.1072-6691https://hdl.handle.net/10877/14779In 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalImpulsive integro-differential equationsQuasilinearizationIntegral boundary conditionsQuadratic convergenceUpper and lower solutionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.