APPROXIMATE METHOD FOR AN INITIAL VALUE PROBLEM FOR IMPULSIVE DIFFERENCE EQUATIONS

Authors

DOI:

https://doi.org/10.37560/matbil11700013m

Keywords:

upper and lower solutions, monotone-iterative technique, impulses, difference equations

Abstract

An algorithm for constructing two monotone sequences of upper and lower solutions of the initial value problem for nonlinear impulsive difference equations is given. It is proved that both functional sequences are convergent and their limits are minimal and maximal solutions of the considered problem. Theoretical results are ilustrated by an example.

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Published

2017-01-01

Issue

Vol. 41 No. 1 (2017): 41 (LXVII) 1 (2017)

Section

Articles

License

Copyright (c) 2017 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
E. Madamlieva, L. Kasmska, and S. Hristova, “APPROXIMATE METHOD FOR AN INITIAL VALUE PROBLEM FOR IMPULSIVE DIFFERENCE EQUATIONS”, Mat. Bilt., vol. 41, no. 1, pp. 13–22, Jan. 2017, doi: 10.37560/matbil11700013m.