Solvability of Nonlinear Integral Equations of Volterra Type
Open Access
- 1 January 2012
- journal article
- research article
- Published by Hindawi Limited in Abstract and Applied Analysis
- Vol. 2012, 1-17
- https://doi.org/10.1155/2012/932019
Abstract
This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral equation of Volterra type. The main tools used in the proofs are some techniques in analysis and the Darbo fixed point theorem via measures of noncompactness. The results obtained in this paper extend and improve essentially some known results in the recent literature. Two nontrivial examples that explain the generalizations and applications of our results are also included.Keywords
Funding Information
- Science Research Foundation of Educational Department of Liaoning Province (L2012380)
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