Weighted norms and Volterra integral equations in Lp spaces

Weighted norms and Volterra integral equations in Lp spaces

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Article ID: iaor19932346
Country: United States
Volume: 4
Issue: 2
Start Page Number: 161
End Page Number: 164
Publication Date: Jun 1991
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
Keywords: Volterra equations
Abstract:

A new simple proof of existence and uniqueness of solutions of the Volterra integral equation in Lebesque spaces is given. It is shown that the weighted norm technique and the Banach contraction mapping principle can be applied (as in the case of continuous functions space).

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