A nonlinear operator functional equation of Volterra type.

DOI10.1016/S0096-3003(02)00926-8zbMath1051.47044OpenAlexW1995492369MaRDI QIDQ1421262

Ibrahim Abou El-Farag, Ahmed M. A. El-Sayed, Nagwa Sherif

Publication date: 26 January 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00926-8

zbMATH Keywords

measures of noncompactnessfixed point theoremsVolterra integral operator

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20)

Related Items

A family of measures of noncompactness in the space \(L^1_{\mathrm{loc}}(\mathbb R_+)\) and its application to some nonlinear Volterra integral equation

Cites Work

• Measures of weak noncompactness and nonlinear integral equations of convolution type
• Integrable solutions of a functional-integral equation
• Measures of noncompactness and solvability of an integral equation in the class of functions of locally bounded variation
• On the superposition operator and integrable solutions of some functional equation
• Integrable solutions of hammerstein
• Applications of measures of weak noncompactness and some classes of operators in the theory of functional equations in the lebesgue space
• Existence of solutions of a functional-integral equation in infinite dimensional Banach spaces
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