International Journal of Engineering, Science and Mathematics

  • Year: 2020
  • Volume: 9
  • Issue: 5

Second order random differential inclusions with boundary conditions

  • Author:
  • P.R. Shinde
  • Total Page Count: 9
  • Page Number: 81 to 89

Department of Mathematics, Gramin Mahavidhyalaya, Vasat Nagar, Mukhed, Dist. Nanded, (M.S.) India

* Author correspondence: Department of Mathematics, Gramin Mahavidhyalaya, Vasat Nagar, Mukhed, Dist. Nanded, (M.S.) India

Online published on 4 January, 2021.

Abstract

The random differential inclusions is an important branch of probabilistic non-linear analysis and is applicable in classical as well as random phenomenon of the universe. In this paper, we have investigated the boundary value problem for second order random differential inclusions and proved an existence result through random fixed point theorem for condensing map of Martelli.

Keywords

Multi-valued map, Random differentialinclusions, Condensing map, Random fixedpoint theorem