Solvability of Nonlinear Integral Equations of Volterra Type
Copyright policy )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.
- Gyeongsang National University Korea (Republic of)
- Liaoning Normal University China (People's Republic of)
Other nonlinear integral equations, asymptotic stability, Volterra integral equations, Stability theory for integral equations, nonlinear integral equation of Volterra type, Asymptotics of solutions to integral equations, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., Fixed-point theorems, QA1-939, Darbo fixed point theorem, Mathematics, continuous bounded solutions, measures of noncompactness
Other nonlinear integral equations, asymptotic stability, Volterra integral equations, Stability theory for integral equations, nonlinear integral equation of Volterra type, Asymptotics of solutions to integral equations, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., Fixed-point theorems, QA1-939, Darbo fixed point theorem, Mathematics, continuous bounded solutions, measures of noncompactness
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