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 |
| Summary: | 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. |
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| ISSN: | 1072-6691 |