2015
DOI: 10.1063/1.4936725
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Monotone iterative technique with respect to initial time difference for initial value problem for difference equations with maxima

Abstract: In this paper a special type of difference equations is investigated. The impulses start abruptly at some points and their action continue on given finite intervals. This type of equations is used to model a real process. An algorithm, namely, the monotone iterative technique is suggested to solve the initial value problem for nonlinear difference equations with noninstantaneous impulses approximately. An important feature of our algorithm is that each successive approximation of the unknown solution is equal … Show more

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