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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(More)
In this paper, we consider the third-order nonlinear neutral delay dynamic equations n B(t) ˆ A(t) ` y(t) + p(t)y(τ (t)) ´ ∆ ˜ ∆ o ∆ + Z b a F (t, ξ, y(g(t, ξ))) ∆ξ = 0, on an arbitrary time scale T which is unbounded above. We establish some sufficient conditions which ensure that every solution of the above equations oscillates or converges to zero. To(More)
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