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- Title
Solvability of Nonlinear Integral Equations of Volterra Type.
- Authors
Zeqing Liu; Sunhong Lee; Shin Min Kang
- 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.
- Subjects
NUMERICAL solutions to nonlinear integral equations; NUMERICAL solutions to Voterra equations; MATHEMATICAL bounds; ASYMPTOTIC theory in integral equations; STABILITY theory; FIXED point theory; MATHEMATICAL proofs
- Publication
Abstract & Applied Analysis, 2012, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2012/932019