Add to ORKGAbstract. This paper studies the oscillation and nonoscillation of solutions of a nonlinear stochastic delay differential equation, where the noise perturbation depends on the current state, and the drift depends on a delayed argument. When the restoring force towards equilibrium is relatively strong, all solutions oscillate, almost surely. However, if the restoring force is superlinear, positive solutions exist with positive probability, and for suitably chosen initial con-ditions, the probability of positive solutions can be made arbitrarily close to unity. 1
Delayed responses to external drivers are ubiquitous in environmental, social, and biological proces...
Stochastic delay differential equations (SDDEs) are systems of differential equations with a time la...
Abstract. In this paper we shall consider the nonlinear neutral delay differential equations with va...
This paper studies the oscillatory properties of solutions of linear scalar stochastic delay differe...
The paper considers the contribution of space-time noise to the oscillatory behaviour of solutions o...
The main result of this paper is that the oscillation and nonoscillation properties of a nonlinear i...
Abstract. It is possible to develop a partial description of the oscillatory behaviour of a linear s...
Abstract. This paper considers the pathwise oscillatory behaviour of the scalar nonlinear stochastic...
Abstract. This paper studies the growth and decay rates of solutions of scalar stochastic delay diff...
In this article, we investigate oscillatory nature of all solutions of a class of delay dynamic equa...
AbstractComparison theorem and explicit sufficient conditions are obtained for oscillation and nonos...
First part of this thesis (chapters 1-5) studies the effect of small noise perturbations on delay di...
AbstractThe oscillatory and asymptotic behavior of first-order nonlinear delay impulsive differentia...
We consider a general stochastic differential delay equation (SDDE) with multiplicative colored nois...
Models written in terms of stochastic delay differential equations (SDDE's) have recently appeared i...
Delayed responses to external drivers are ubiquitous in environmental, social, and biological proces...
Stochastic delay differential equations (SDDEs) are systems of differential equations with a time la...
Abstract. In this paper we shall consider the nonlinear neutral delay differential equations with va...
This paper studies the oscillatory properties of solutions of linear scalar stochastic delay differe...
The paper considers the contribution of space-time noise to the oscillatory behaviour of solutions o...
The main result of this paper is that the oscillation and nonoscillation properties of a nonlinear i...
Abstract. It is possible to develop a partial description of the oscillatory behaviour of a linear s...
Abstract. This paper considers the pathwise oscillatory behaviour of the scalar nonlinear stochastic...
Abstract. This paper studies the growth and decay rates of solutions of scalar stochastic delay diff...
In this article, we investigate oscillatory nature of all solutions of a class of delay dynamic equa...
AbstractComparison theorem and explicit sufficient conditions are obtained for oscillation and nonos...
First part of this thesis (chapters 1-5) studies the effect of small noise perturbations on delay di...
AbstractThe oscillatory and asymptotic behavior of first-order nonlinear delay impulsive differentia...
We consider a general stochastic differential delay equation (SDDE) with multiplicative colored nois...
Models written in terms of stochastic delay differential equations (SDDE's) have recently appeared i...
Delayed responses to external drivers are ubiquitous in environmental, social, and biological proces...
Stochastic delay differential equations (SDDEs) are systems of differential equations with a time la...
Abstract. In this paper we shall consider the nonlinear neutral delay differential equations with va...