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CRITERIA FOR THE EXISTENCE OF SOLUTIONS TO RANDOM INTEGRAL AND DIFFERENTIAL EQUATIONS
作者姓名:丁协平
作者单位:Sichuan Teacher's
摘    要:In1],we proved a general random fixed point theorem and gave some applications.Inthis paper,we shall give further applications of the theorem.We first obtain a randomDarbo’s fixed point theorem,using the theorem,we give the criteria for the existence ofsolutions under compactness hypotheses to nonlinear random volterra integral equationsand the Cauchy problem of nonlinear random differential equations.Our theorems improveand generalize some main results of Lakshmikanthem,Vaughn as well as De Blasiand Myjak.

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