In this paper we prove the existence of integrable solutions of a generalized functionalintegral equation, which includes many key integral and functional equations that arise in nonlinear analysis and its applications. This is achieved by means of an improvement of a Krasnosel'skii type fixed point
Existence of Integrable Solutions of an Integral Equation of Hammerstein Type on an Unbounded Interval
✍ Scribed by Najeh Salhi, Mohamed Aziz Taoudi
- Book ID
- 115488826
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2011
- Tongue
- English
- Weight
- 273 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1660-5446
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📜 SIMILAR VOLUMES
Let E be a 2-uniformly real Banach space and F , K : E → E be nonlinear-bounded accretive operators. Assume that the Hammerstein equation u + KFu = 0 has a solution. A new explicit iteration sequence is introduced and strong convergence of the sequence to a solution of the Hammerstein equation is pr
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