Quasilinearization method for first-order impulsive integro-differential equations
dc.contributor.author | Wang, Peiguang | |
dc.contributor.author | Li, Chongrui | |
dc.contributor.author | Zhang, Juan | |
dc.contributor.author | Li, Tongxing | |
dc.date.accessioned | 2021-11-05T15:44:42Z | |
dc.date.available | 2021-11-05T15:44:42Z | |
dc.date.issued | 2019-03-30 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 14 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Wang, P., Li, C., Zhang, J., & Li, T. (2019). Quasilinearization method for first-order impulsive integro-differential equations. Electronic Journal of Differential Equations, 2019(46), pp. 1-14. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14779 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Impulsive integro-differential equations | |
dc.subject | Quasilinearization | |
dc.subject | Integral boundary conditions | |
dc.subject | Quadratic convergence | |
dc.subject | Upper and lower solutions | |
dc.title | Quasilinearization method for first-order impulsive integro-differential equations | |
dc.type | Article |