Quasilinearization method for first-order impulsive integro-differential equations

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dc.contributor.authorWang, Peiguang
dc.contributor.authorLi, Chongrui
dc.contributor.authorZhang, Juan
dc.contributor.authorLi, Tongxing
dc.date.accessioned2021-11-05T15:44:42Z
dc.date.available2021-11-05T15:44:42Z
dc.date.issued2019-03-30
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWang, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14779
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectImpulsive integro-differential equations
dc.subjectQuasilinearization
dc.subjectIntegral boundary conditions
dc.subjectQuadratic convergence
dc.subjectUpper and lower solutions
dc.titleQuasilinearization method for first-order impulsive integro-differential equations
dc.typeArticle

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