Weighted Lp -solutions on unbounded intervals of nonlinear integral equations of the Hammerstein and Urysohn types

DOI10.1515/APAM.2010.021zbMath1209.45005MaRDI QIDQ3074808

Abderrazek Karoui, Hichem Ben Aouicha, Adel Jawahdou

Publication date: 10 February 2011

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

zbMATH Keywords

Schauder's fixed point theoremnonlinear integral equationsunbounded domainscompact operatorsHammerstein's integral equationUrysohn's integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

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Solvability of Gripenberg's equations of fractional order with perturbation term in weighted LpL_p-spaces on R+{\mathbb{R}}^+

Cites Work

• On solutions of functional-integral equations of Urysohn type on an unbounded interval
• Monotonic solutions of Urysohn integral equation on unbounded interval
• On the existence of continuous solutions of nonlinear integral equations
• On solutions of a quadratic integral equation of Hammerstein type
• Existence and approximate solutions of nonlinear integral equations
• Integral equations in reflexive Banach spaces and weak topologies