Stochastic equation;
Urysohn integral equation;
Arzela-Ascoli theorem;
Fixed point theorem;
45G10;
60H20;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
We prove some existence and uniqueness results for nonlinear stochastic integral equation of Urysohn type using fixed point theory methods. We also establish the stability of the unique solution with respect to small perturbations of the stochastic free term (Constantin, Qualitative problems for differential equations and control theory, World Scientific Publishing, Singapore, 1995).
机构:
Department of Mathematics, Islamic Azad University, Khomein Branch, Khomein, IranDepartment of Mathematics, Islamic Azad University, Khomein Branch, Khomein, Iran
机构:
Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
Qinghai Univ Nationalities, Dept Math, Xining 810007, Qinghai, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China