On the existence of integrable solutions for a nonlinear quadratic integral equation

DOI10.1007/S12190-013-0737-2zbMath1301.45002OpenAlexW2094761216MaRDI QIDQ741382

Azzeddine Bellour, Mohamed-Aziz Taoudi, Donal O'Regan

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1007/s12190-013-0737-2

zbMATH Keywords

measure of weak noncompactnessfixed-point theoremChandrasekhar's integral equationnonlinear quadratic integral equationintegrable solution

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Volterra integral equations (45D05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (8)

On monotonic L_ϕ-solutions for a class of quadratic-Urysohn integral equations ⋮ On existence and uniqueness of \(L_1\)-solutions for quadratic integral equations via a Krasnoselskii-type fixed point theorem ⋮ Existence of weak solutions for a boundary value problem of a second order ordinary differential equation ⋮ Existence theorems for generalized nonlinear quadratic integral equations via a new fixed point result ⋮ Controllability of nonlinear integral equations of Chandrasekhar type ⋮ ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES ⋮ Unnamed Item ⋮ On a class of quadratic Urysohn-Hammerstein integral equations of mixed type and initial value problem of fractional order

Cites Work

• Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
• Existence results for a generalized nonlinear Hammerstein equation on \(L_{1}\) spaces
• Monotonic positive solution of a nonlinear quadratic functional integral equation
• On existence of integrable solutions of a functional integral equation under Carathéodory conditions
• Integrable solutions of a nonlinear functional integral equation on an unbounded interval
• On measures of weak noncompactness
• Un teorema sulle funzioni continue rispetto ad una e misurabili rispetto ad un'altra variabile
• Monotonic solutions for quadratic integral equations
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