In this article, we construct stochastic integral and stochastic differential equations on general time scales. We call these equations stochastic dynamic equations. We provide the existence and uniqueness theorem for solutions of stochastic dynamic equations. The crucial tool of our construction is a result about a connection between the time scales Lebesgue integral and the Lebesgue integral in the common sense
AbstractWhen a system is acted upon by exterior disturbances, its time-development can often be desc...
We introduce new properties of Riemann-Liouville fractional integral and derivative on time scales. ...
When a system is acted upon by exterior disturbances, its time-development can often be described by...
The theory of stochastic dynamic equations extends and unifies the theories of stochastic difference...
We provide an Itô formula for stochastic dynamical equation on general time scales. Based on this It...
Abstract. In this paper we study explicit bounds of certain dynamic integral inequalities on time sc...
AbstractThe aim of this paper is to show that dynamic equations on time scales can be treated in the...
The purpose of this paper is to prove the existence and uniqueness of solution for random dynamic s...
A general stochastic integration theory for adapted and instantly independent stochastic processes a...
Bellman optimality principle for the stochastic dynamic system on time scales is derived, which incl...
The main objective of the present paper is to study some basic qualitative properties of solutions ...
As a way to unify a discussion of many kinds of problems for equations in the contionous and discret...
AbstractOur aim in this paper is to investigate some integral inequalities in two independent variab...
We study measure functional differential equations and clarify their relation to generalized ordinar...
summary:The main objective of the paper is to study explicit bounds of certain dynamic integral ineq...
AbstractWhen a system is acted upon by exterior disturbances, its time-development can often be desc...
We introduce new properties of Riemann-Liouville fractional integral and derivative on time scales. ...
When a system is acted upon by exterior disturbances, its time-development can often be described by...
The theory of stochastic dynamic equations extends and unifies the theories of stochastic difference...
We provide an Itô formula for stochastic dynamical equation on general time scales. Based on this It...
Abstract. In this paper we study explicit bounds of certain dynamic integral inequalities on time sc...
AbstractThe aim of this paper is to show that dynamic equations on time scales can be treated in the...
The purpose of this paper is to prove the existence and uniqueness of solution for random dynamic s...
A general stochastic integration theory for adapted and instantly independent stochastic processes a...
Bellman optimality principle for the stochastic dynamic system on time scales is derived, which incl...
The main objective of the present paper is to study some basic qualitative properties of solutions ...
As a way to unify a discussion of many kinds of problems for equations in the contionous and discret...
AbstractOur aim in this paper is to investigate some integral inequalities in two independent variab...
We study measure functional differential equations and clarify their relation to generalized ordinar...
summary:The main objective of the paper is to study explicit bounds of certain dynamic integral ineq...
AbstractWhen a system is acted upon by exterior disturbances, its time-development can often be desc...
We introduce new properties of Riemann-Liouville fractional integral and derivative on time scales. ...
When a system is acted upon by exterior disturbances, its time-development can often be described by...