Shri Niketan Colony, Near Abhinay Talkies
Aurangabad 431 001 (Maharashtra), India
email: bgpachpatte@gmail.com
Baburao G. Pachpatte
Abstract:
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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Baburao G. Pachpatte Shri Niketan Colony, Near Abhinay Talkies Aurangabad 431 001 (Maharashtra), India email: bgpachpatte@gmail.com |
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