Some Basic Theorems on Difference-Differential Equations

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Pachpatte, B. G (2007) Some Basic Theorems on Difference-Differential Equations. Research report collection, 10 (4).

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 the results.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17600
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords difference-differential equations, Banach fixed point theorem, Gronwall-Bellman integral inequality, existence and uniqueness, continuous dependence
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