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

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  • Yirong Jiang

    (Guilin University of Technology)

  • Qiqing Song

    (Shanxi Normal University)

  • Qiongfen Zhang

    (Guilin University of Technology)

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.

Suggested Citation

  • Yirong Jiang & Qiqing Song & Qiongfen Zhang, 2021. "Uniqueness and Hyers-Ulam Stability of Random Differential Variational Inequalities with Nonlocal Boundary Conditions," Journal of Optimization Theory and Applications, Springer, vol. 189(2), pages 646-665, May.
    • Handle: RePEc:spr:joptap:v:189:y:2021:i:2:d:10.1007_s10957-021-01850-x
    DOI: 10.1007/s10957-021-01850-x
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    References listed on IDEAS

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    1. Xing Wang & Nan-Jing Huang, 2013. "Differential Vector Variational Inequalities in Finite-Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 158(1), pages 109-129, July.
    2. Arvind Raghunathan & J. PÉRez-Correa & Eduardo Agosin & Lorenz Biegler, 2006. "Parameter estimation in metabolic flux balance models for batch fermentation—Formulation & Solution using Differential Variational Inequalities (DVIs)," Annals of Operations Research, Springer, vol. 148(1), pages 251-270, November.
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