On weak solutions of random differential inclusions
1995 ◽
Vol 8
(4)
◽
pp. 393-396
Keyword(s):
In the paper we study the existence of solutions of the random differential inclusion x˙t∈G(t,xt) P.1,t∈[0,T]-a.e.x0=dμ, where G is a given set-valued mapping value in the space Kn of all nonempty, compact and convex subsets of the space ℝn, and μ is some probability measure on the Borel σ-algebra in ℝn. Under certain restrictions imposed on F and μ, we obtain weak solutions of problem (I), where the initial condition requires that the solution of (I) has a given distribution at time t=0.
2015 ◽
Vol 61
(1)
◽
pp. 195-208
◽
Keyword(s):
1992 ◽
Vol 5
(4)
◽
pp. 315-323
2002 ◽
Vol 33
(1)
◽
pp. 25-34
◽
2020 ◽
Vol 26
◽
pp. 37
◽