On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces

[摘要] The existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces. We utilize the strategy of measure of noncompactness related to the Darbo fixed point principle. As an application, we discuss the presence of solution of the initial value problem with nonlocal conditions.

[学科分类] 外科医学

[关键词] quadratic integral equation;Orlicz spaces;initial value problem;nonlocal conditions;Darbo fixed point theorem