On a nonlinear quadratic integral equation of Urysohn–Stieltjes type and its applications
✍ Scribed by Józef Banaś; Juan Ramon Rodriquez; Kishin Sadarangani
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 444 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We study the solvability of a nonlinear quadratic integral equation of Hammerstein type. Using the technique of measures of noncompactness we prove that this equation has solutions on an unbounded interval. Moreover, we also obtain an asymptotic characterization of these solutions. Several special c
## Abstract The aim of this paper is to obtain monotonic solutions of an integral equation of Volterra–Stieltjes type in __C__ [0, 1]. Existence will be established with the aid of a measures of noncompactness. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.