Quasilinearization method for first-order impulsive integro-differential equations
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/46/abstr.html |
| _version_ | 1811274560996114432 |
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| author | Peiguang Wang Chongrui Li Juan Zhang Tongxing Li |
| author_facet | Peiguang Wang Chongrui Li Juan Zhang Tongxing Li |
| author_sort | Peiguang Wang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T23:21:11Z |
| format | Article |
| id | doaj.art-2d7114d642e94b8b924e0d8449ec4cc5 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T23:21:11Z |
| publishDate | 2019-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-2d7114d642e94b8b924e0d8449ec4cc52022-12-22T03:12:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-03-01201946,114Quasilinearization method for first-order impulsive integro-differential equationsPeiguang Wang0Chongrui Li1Juan Zhang2Tongxing Li3 Hebei Univ., Baoding, Hebei, China Hebei Univ., Baoding, Hebei, China Hebei Univ., Baoding, Hebei, China Hebei Univ., Baoding, Hebei, China 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.http://ejde.math.txstate.edu/Volumes/2019/46/abstr.htmlImpulsive integro-differential equationsquasilinearizationintegral boundary conditionsquadratic convergenceupper and lower solutions |
| spellingShingle | Peiguang Wang Chongrui Li Juan Zhang Tongxing Li Quasilinearization method for first-order impulsive integro-differential equations Electronic Journal of Differential Equations Impulsive integro-differential equations quasilinearization integral boundary conditions quadratic convergence upper and lower solutions |
| title | Quasilinearization method for first-order impulsive integro-differential equations |
| title_full | Quasilinearization method for first-order impulsive integro-differential equations |
| title_fullStr | Quasilinearization method for first-order impulsive integro-differential equations |
| title_full_unstemmed | Quasilinearization method for first-order impulsive integro-differential equations |
| title_short | Quasilinearization method for first-order impulsive integro-differential equations |
| title_sort | quasilinearization method for first order impulsive integro differential equations |
| topic | Impulsive integro-differential equations quasilinearization integral boundary conditions quadratic convergence upper and lower solutions |
| url | http://ejde.math.txstate.edu/Volumes/2019/46/abstr.html |
| work_keys_str_mv | AT peiguangwang quasilinearizationmethodforfirstorderimpulsiveintegrodifferentialequations AT chongruili quasilinearizationmethodforfirstorderimpulsiveintegrodifferentialequations AT juanzhang quasilinearizationmethodforfirstorderimpulsiveintegrodifferentialequations AT tongxingli quasilinearizationmethodforfirstorderimpulsiveintegrodifferentialequations |