Geodesic
Approximation of solutions of a difference-differential equation
Archivum mathematicum, Tome 46 (2010) no. 2, pp. 145-155

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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.
Classification : 34K05, 34K10, 34K40, 65L03
Keywords: approximation of solutions; difference-differential equation; Gronwall-Bellman; integral inequality; Volterra type; difference-integral equation; estimate; closeness of solutions 
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     author = {Pachpatte, B. G.},
     title = {Approximation of solutions of a difference-differential equation},
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     pages = {145--155},
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     zbl = {1240.34295},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_2_a6/}
}
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Pachpatte, B. G. Approximation of solutions of a difference-differential equation. Archivum mathematicum, Tome 46 (2010) no. 2, pp. 145-155. http://geodesic.mathdoc.fr/item/ARM_2010__46_2_a6/