Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2012, Special Issue (2012), Article ID 932019, 17 pages.
Solvability of Nonlinear Integral Equations of Volterra Type
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.
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 932019, 17 pages.
First available in Project Euclid: 7 May 2014
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Liu, Zeqing; Lee, Sunhong; Kang, Shin Min. Solvability of Nonlinear Integral Equations of Volterra Type. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 932019, 17 pages. doi:10.1155/2012/932019. https://projecteuclid.org/euclid.aaa/1399486654