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On random set-valued functional integro differential Equations with the second type hukuhara derivative

Authors: 

Vu-H, Dong. S-Le and Phu. D-Nguyen

Source title: 
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 21: 267-289, 2014 (Scopus)
Academic year of acceptance: 
2014-2015
Abstract: 

In this paper, we study the initial valued problem for random set-valued integro functional differential equations with the second type Hukuhara derivative. By using the techniques of successive approximations, the existence and uniqueness of solutions are established. Two kinds of boundedness of the solution are also established. In addition, the problem at least one solution under some conditions is proven and two examples illustrate the results.