On solutions of a quadratic integral equation of Hammerstein type

Authors:
J. Bana;J. Rocha Martin;K. Sadarangani
Affiliations:
Department of Mathematics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland;Departamento de Matematicas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain;Departamento de Matematicas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2006

Citing 2
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On a class of Urysohn—Stieljes quadratic integral equations and their applications

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Volterra-stieltjes integral operators

Mathematical and Computer Modelling: An International Journal

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Abstract

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 cases of this integral equation are discussed and applications to real world problems are indicated.