Monotonic solutions for quadratic integral equations

Cichoń, Mieczysław ; Metwali, Mohamed

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 31 (2011) no. 2, pp. 157-171.

Résumé

Using the Darbo fixed point theorem associated with the measure of noncompactness, we establish the existence of monotonic integrable solution on a half-line ℝ₊ for a nonlinear quadratic functional integral equation.

Détail

Keywords: integral equation, monotonic solution, measure of noncompactness, Darbo fixed point theorem, superposition operator

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