Publication Cover
Applicable Analysis
An International Journal
Volume 51, 1993 - Issue 1-4
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Original Articles

Two point boundary value problems associated with a system of first order nonlinear impulse differential equations

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Pages 303-313 | Received 15 Apr 1991, Published online: 02 May 2007
 

Abstract

We show assumptions of boundedness and Lipschitz conditions that guarantee the existence of a unique solution to a nonlinear differential boundary value problem. The result utilizes a variation of parameters of formula due to V. Lakshmikantham, et. al. and depends upon a contraction mapping.

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