Random nonsmooth integral guiding functions and asymptotic behavior of trajectories for random differential inclusions

The present paper is devoted to the study of some qualitative properties of solutions to random differential inclusions. We define the notion of the random nonsmooth integral guiding function for an inclusion along a given function and apply it for the investigation of the behavior of solutions on R and provide upper bounds for the norms of trajectories. © 2018.

Authors
Kornev S. 1 , Loi N.V.2, 3 , Obukhovskii V. 4 , Wen C.-F.5
Journal
Journal of Nonlinear and Convex Analysis
Publisher
Yokohama Publications
Number of issue
3
Language
English
Pages
493-500
Status
Published
Link
External link
Volume
19
Year
2018
Organizations
  • 1 Faculty of Physics and Mathematics, Voronezh State Pedagogical University, Voronezh, Russian Federation
  • 2 Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh city, Viet Nam
  • 3 Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh city, Viet Nam
  • 4 Faculty of Physics and Mathematics, Voronezh State Pedagogical University, Voronezh and Chair of Nonlinear Analysis and Optimization, RUDN University, Moscow, Russian Federation
  • 5 Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung, 807, Taiwan
Keywords
Asymptotic behavior of solutions; Random differential inclusion; Random nonsmooth integral guiding function
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7334/
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