Stefan Hilger

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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)
This paper is concerned with oscillation of the second-order half-linear delay dynamic equation (r(t)(x)) + p(t)x(τ(t)) = 0, on a time scale T where 0 < γ ≤ 1 is the quotient of odd positive integers, p : T → [0,∞), and τ : T → T are positive rd-continuous functions, r(t) is a positive and (delta) differentiable function, τ(t) ≤ t, and lim t→∞ τ(t) = ∞. We(More)
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