On the asymptotic behaviour of solutions of nonlinear integral equations in BANACH spaces
β Scribed by G. Gripenberg
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 354 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
The asymptotic behaviour of solutions of nonlinear VOLTERRA integral equations is studied in a real BANACH spaces. The nonlinear operator is assumed to satisfy some accretivityβtype conditions.
π SIMILAR VOLUMES
In this paper we prove the existence of mild solutions of a nonlinear neutral integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application the controllability problem for the neutral system is discussed.
strong pseudocontraction with an open domain D T in E and a fixed point Ε½ . x\* g D T . We establish the strong convergence of the Mann and Ishikawa Ε½ . iterative processes with errors to the fixed point of T. Related results deal with the iterative solution of operator equations of the forms f g T