Results 21 to 30 of about 2,620 (124)
Predictability and uniqueness of weak solutions of the stochastic differential equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Causality is a topic which receives much attention nowadays and it represents a prediction property in the context of possible reduction of available information in order to predict a given filtration.
Merkle Ana
doaj +1 more source
Prevalence of backward stochastic differential equations with unique solution
International Journal of Stochastic Analysis, Volume 2004, Issue 2, Page 123-136, 2004., 2004 We prove that in the sense of Baire category, almost all backward stochastic differential equations (BSDEs) with bounded and continuous coefficient have the properties of existence and uniqueness of solutions as well as the continuous dependence of solutions on the coefficient and the L2‐convergence of their associated successive approximations.
K. Bahlali, B. Mezerdi, Y. Ouknine
wiley +1 more source
Open Mathematics, 2022 In this paper, our aims are to study the stability with general decay rate of hybrid stochastic fractional differential equations driven by Lévy noise with impulsive effects.
Hou Tingting, Zhang Hui
doaj +1 more source
The exact solutions of the stochastic Ginzburg–Landau equation
Results in Physics, 2021 The main goal of this paper is to obtain the exact solutions of the stochastic real-valued Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense.
Wael W. Mohammed +5 more
doaj +1 more source
Second‐order neutral stochastic evolution equations with heredity
International Journal of Stochastic Analysis, Volume 2004, Issue 2, Page 177-192, 2004., 2004 Existence, continuous dependence, and approximation results are established for a class of abstract second‐order neutral stochastic evolution equations with heredity in a real separable Hilbert space. A related integro‐differential equation is also mentioned, as well as an example illustrating the theory.
Mark A. McKibben
wiley +1 more source
Dependence Modeling, 2019 We study the dynamics of the family of copulas {Ct}t≥0 of a pair of stochastic processes given by stochastic differential equations (SDE). We associate to it a parabolic partial differential equation (PDE). Having embedded the set of bivariate copulas in
Jaworski Piotr
doaj +1 more source
Backward stochastic differential equations with stochastic monotone coefficients
International Journal of Stochastic Analysis, Volume 2004, Issue 4, Page 317-335, 2004., 2004 We prove an existence and uniqueness result for backward stochastic differential equations whose coefficients satisfy a stochastic monotonicity condition. In this setting, we deal with both constant and random terminal times. In the random case, the terminal time is allowed to take infinite values.
K. Bahlali, A. Elouaflin, M. N′zi
wiley +1 more source
Some estimates on exponentials of solutions to stochastic differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 4, Page 287-316, 2004., 2004 Exponential of functionals of solutions to certain stochastic differential equations (SDEs) plays an interesting role in some mathematical finance problems. The purpose of this paper is to establish some estimates for these exponentials.
Jiongmin Yong
wiley +1 more source
Journal of Biological Dynamics, 2023 In this paper, a new stochastic four-species predator-prey model with disease in the first prey is proposed and studied. First, we present the stochastic model with some biological assumptions and establish the existence of globally positive solutions ...
C. Gokila +3 more
doaj +1 more source
A linear numerical scheme for nonlinear BSDEs with uniformly continuous coefficients
Journal of Applied Mathematics, Volume 2004, Issue 6, Page 461-477, 2004., 2004 We attempt to present a new numerical approach to solve nonlinear backward stochastic differential equations. First, we present some definitions and theorems to obtain the condition, from which we can approximate the nonlinear term of the backward stochastic differential equation (BSDE) and we get a continuous piecewise linear BSDE corresponding to the
Omid. S. Fard, Ali V. Kamyad
wiley +1 more source