## This paper discusses the solvability of operator inclusions on the half line. @ 2000 Elsevier Science Ltd. AI1 rights reserved.
Approximation of solutions of nonlinear operator equation on the half line
โ Scribed by D. O'Regan
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 666 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
This paper discusses the solvability and approximation of operator equations on the half line.
๐ SIMILAR VOLUMES
We discuss a nonlinear Abel equation on the half-line (-โ, c), c > 0. The basic results provide criteria for the existence of nontrivial everywhere positive solutions. They are expressed in terms of the generalized Osgood condition.
The aim of this paper is to investigate a method of approximating a solution of the operator equation of Hammerstein type x + KF(x) = f by solutions of similar finite-dimensional problems which contain operators better than K and F. Conditions of convergence and convergence rate are given and an ite