Symmetric fuzzy stochastic differential equations with generalized global lipschitz condition / Marek T. Malinowski // Symmetry [Dokument elektroniczny]. – 2020, Vol. 12, Iss. 5, spec. iss., 24 s. : ... więcej

Symmetric fuzzy stochastic differential equations with generalized global lipschitz condition / Marek T. Malinowski // Symmetry [Dokument elektroniczny]. – 2020, Vol. 12, Iss. 5, spec. iss., 24 s. : wykr. – Tryb dostępu: https://www.mdpi.com/2073-8994/12/5/819/htm. – Oznaczenie ref./art.: 819. – Bibliogr. 30 poz., Abstr. – Tyt. numeru spec.: Advances in Stochastic Differential Equations. – doi: 10.3390/sym12050819. – ISSN 2073-8994

The paper contains a discussion on solutions to symmetric type of fuzzy stochasticdifferential equations. The symmetric equations under study have drift and diffusion termssymmetrically on both sides of ... więcej

The paper contains a discussion on solutions to symmetric type of fuzzy stochasticdifferential equations. The symmetric equations under study have drift and diffusion termssymmetrically on both sides of equations. We claim that such symmetric equations have uniquesolutions in the case that equations’ coefficients satisfy a certain generalized Lipschitz condition.To show this, we prove that an approximation sequence converges to the solution. Then, a studyon stability of solution is given. Some inferences for symmetric set-valued stochastic differentialequations end the paper.