Baburao G. Pachpatte
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.
Submitted December 21, 2007. Published May 22, 2008.
Math Subject Classifications: 34K05, 34K10, 34K40.
Key Words: Difference-differential equations; Banach fixed point theorem; Gronwall-Bellman integral inequality; existence and uniqueness; continuous dependence.
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