Abstract
This paper is concerned with existence results for a quite general nonlinear functional integral equation in $L^1$ spaces. For this purpose, making use of the De Blasi measure of weak noncompactness, we first establish a new fixed point theorem of the nonautonomous superposition operators. After that, our theorem is applied to prove the solvability of the mentioned nonlinear functional integral equation.
Citation
Fuli Wang. "Solvability of a general nonlinear integral equation in $L^1$ spaces by means of a measure of weak noncompactness." J. Integral Equations Applications 27 (2) 273 - 287, SUMMER 2015. https://doi.org/10.1216/JIE-2015-27-2-273
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