Monotonic positive solution of a nonlinear quadratic functional integral equation
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摘要
The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equation have been studied in [4], [5], [6], [7], [8]. Here we are concerning with a nonlinear quadratic integral equation of Volterra type and we shall prove the existence of at least one L1-positive monotonic solution for that equation under Carathèodory condition.
论文关键词:Quadratic functional integral equation,Positive monotonic solutions,Measure of noncompactness
论文评审过程:Available online 24 March 2010.
论文官网地址:https://doi.org/10.1016/j.amc.2010.03.099