Existence of solutions for a coupled system of difference equations with causal operators

In this paper, we discuss a coupled system of difference equations with causal operators. Sufficient conditions under which such problems have solutions are given, by using a monotone iterative method. Difference inequalities with causal operators are also investigated. An example illustrates the re...

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Veröffentlicht in:	Applied mathematics and computation 2013-05, Vol.219 (17), p.9348-9355
1. Verfasser:	Jankowski, Tadeusz
Format:	Artikel
Sprache:	eng
Schlagworte:	Computation Coupled lower and upper approximative solution Difference equations Difference equations with causal operators Difference inequalities with causal operators Existence of solutions Inequalities Iterative methods Mathematical models Monotone iterative method Operators
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Zusammenfassung:	In this paper, we discuss a coupled system of difference equations with causal operators. Sufficient conditions under which such problems have solutions are given, by using a monotone iterative method. Difference inequalities with causal operators are also investigated. An example illustrates the results.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2013.03.100