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Abstract
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How to Cite this Article

Journal of Applied Mathematics and Stochastic Analysis 
Volume 4 (1991), Issue 2, Pages 161-164
doi:10.1155/S1048953391000126

Weighted norms and Volterra integral equations in LP spaces

Jaroslaw Kwapisz

Institute of Mathematics, Warsaw University, PKiN, Warsaw 00-901, Poland

Received 1 June 1990; Revised 1 October 1990

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).