SOLVABILITY OF A GENERAL NONLINEAR INTEGRAL EQUATION IN L1 SPACES BY MEANS OF A MEASURE OF WEAK NONCOMPACTNESS

作者：Wang Fuli^*

来源：Journal of Integral Equations and Applications, 2015, 27(2): 273-287.

DOI：10.1216/JIE-2015-27-2-273

• Superposition operators
• measure of weak noncompactness
• fixed points
• nonlinear integral equations
• Banach algebras

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.

• 出版日期2015
• 单位常州大学