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Article

Pachpatte, B. G.
Approximation of solutions of a difference-differential equation. (English). Archivum Mathematicum, vol. 46 (2010), issue 2, pp. 145-155
MSC: 34K05, 34K10, 34K40, 65L03 | MR 2684256 | Zbl 1240.34295
Keywords:
approximation of solutions; difference-differential equation; Gronwall-Bellman; integral inequality; Volterra type; difference-integral equation; estimate; closeness of solutions
Summary:
In the present paper we study the approximate solutions of a certain difference-differential equation under the given initial conditions. The well known Gronwall-Bellman integral inequality is used to establish the results. Applications to a Volterra type difference-integral equation are also given.
References:
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