Solvability of a nonlinear integral equation of Volterra type

Authors:
J. Banas;J. Rocha;K. B. Sadarangani
Affiliations:
Department of Mathematics, Rzeszow University of Technology, 35-959 Rzeszow, W. Pola 2, Poland;Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus Universitario de Tafira, 35017-Las Palmas de Gran Canaria, Spain;Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus Universitario de Tafira, 35017-Las Palmas de Gran Canaria, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

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Abstract

The aim of this paper is to investigate a class of integral equation of Volterra type and its solvability in the space of continuous and bounded functions on R+. The main tool used in our considerations is the technique associated with measures of noncompactness.