Solvability of Urysohn integral equation.

DOI10.1016/S0096-3003(02)00504-0zbMath1038.45005OpenAlexW2163086971MaRDI QIDQ1412462

D. Massart

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00504-0

zbMATH Keywords

Darbo fixed point theoremnonlinear Urysohn integral equationintegrable and monotonic solutions

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10)

Related Items

Solvability of mixed type operator equations ⋮ Existence of Solutions of a Nonlinear Hammerstein Integral Equation ⋮ Positive and nontrivial solutions for the Urysohn integral equation ⋮ Constant-sign solutions of a system of difference equations of Urysohn type ⋮ On a perturbed functional integral equation of Urysohn type ⋮ Systems described by Volterra type integral operators ⋮ A fixed point theorem for positive strict set-contractions mappings and its application to Urysohn type integral equations ⋮ On the existence of solutions of functional integral equation of Urysohn type ⋮ Integrable solutions of a mixed type operator equation ⋮ An existence result for a class of nonlinear functional integral equations ⋮ Constant-Sign Solutions of a System of Urysohn Integral Equations

Cites Work

• Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator
• Punti uniti in trasformazioni a codominio non compatto
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