Geodesic
Some basic theorems on difference-differential equations
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper some basic theorems on the existence, uniqueness and continuous dependence of solutions of a certain difference-differential equation are established. The well known Banach fixed point theorem and the Gronwall-Bellman integral inequality are used to establish these results.
Classification : 34K05, 34K10, 34K40
Keywords: difference-differential equations, Banach fixed point theorem, Gronwall-Bellman integral inequality, existence and uniqueness, continuous dependence 
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     author = {Pachpatte, Baburao G.},
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Pachpatte, Baburao G. Some basic theorems on difference-differential equations. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a21/