Uniqueness and Hyers-Ulam Stability of Random Differential Variational Inequalities with Nonlocal Boundary Conditions

Yirong Jiang (), Qiqing Song () and Qiongfen Zhang ()
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Yirong Jiang: Guilin University of Technology
Qiqing Song: Shanxi Normal University
Qiongfen Zhang: Guilin University of Technology

Journal of Optimization Theory and Applications, 2021, vol. 189, issue 2, No 13, 646-665

Abstract: Abstract In this paper, we consider a new class of random differential variational inequalities (RDVIs) with nonlocal boundary conditions in Hilbert spaces. We apply the projection operator, Gronwall’s lemma and a result on the existence of a random differential inclusion to establish uniqueness and Hyers–Ulam stability results of the abstract inequality. As an illustrative application, the linear random differential complementarity systems and a price control model are investigated.

Keywords: Random differential variational inequality; Hyers–Ulam stability; Nonlocal boundary condition; Linear complementarity system; Price control; 34F05; 34A60; 34D30; 34B10; 34B15 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-021-01850-x

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