[PDF] Top 20 Oscillation Criteria for Second Order Delay Dynamic Equations on Time Scales

... σ (t) : = inf { s ∈ T | s > t } , ρ(t) : = sup { s ∈ T | s < t } . (2.1) A point t ∈ T is said to be left-dense if ρ(t) = t, right-dense if σ(t) = t, left-scattered if ρ(t) < t, and right-scattered if σ(t) > ... See full document

... new oscillation criteria for the second-order nonlinear delay dynamic equations on time ...the oscillation of the second-order nonlinear ... See full document

... the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to the studies in ...the oscillation of the solutions of ... See full document

... half-linear delay dynamic equation which has been consid- ered by some authors and some oscillation and nonoscillation results have been obtained [, , ...the second-order delay ... See full document

... the oscillation and nonoscillation of solutions of various equations on time scales; we refer the reader to the papers [–] and the references cited ...the oscillation results for ... See full document

... a time scale T, where γ is the quotient of odd positive integers, a and r are positive rd- continuous functions on T, and g : T → T satisfies lim t→∞ g(t) = ∞ and f ∈ C(T × R, ...new oscillation ... See full document

... S.enel, Oscillation theorems for the second order damped nonlinear dynamic equation on time scales, Contemp. Zhang, Oscillation of second-order half-linear delay dynamic equations with d[r] ... See full document

... on a time scale T. Throughout this paper, it is assumed that γ ≥  is a quotient of odd positive integers,  < a < b, τ (t) : T → T, is rd-continuous function such that τ (t) ≤ t and τ (t) → ∞ as t → ∞, δ(t, ... See full document

... of time scales, which has recently received a lot of attention, was introduced by Hilger in his ...in order to unify continuous and discrete analysis. A time scale T is an arbitrary nonempty ... See full document

... Saker, Asymptotic Behavior of Solutions of a Third-Order Non-linear Dynamic Equation on Time Scales, Journal of Computational and Applied Mathematics 181, (2005) 92-102. Thandapani, O[r] ... See full document

... The paper is organized as follows. In the next section, by developing a Riccati transformation technique some sufficient conditions for oscillation of all solutions of 1.1 on time scales are ... See full document

... Philos-type oscillation criteria for second order nonlinear neutral delay dynamic equations on time scales, ...Long, Oscillation criteria for ... See full document

... difference equations, and dynamic equations on time scales have an enor- mous potential for applications in biology, engineering, economics, physics, neural net- works, social sciences, ... See full document

... of time scale calculus by Stefan Hilger in 1988, there has been great interest in studying the qualitative behavior of dynamic equations on time scales, see, for example, 1–3 and the ... See full document

... several oscillation criteria for ...the oscillation of the second-order Emden-Fowler delay differential equation and the second-order Emden-Fowler delay ... See full document

... consider oscillation criteria for certain third-order delay and advanced dynamic equations on unbounded time ...A time scale T is a nonempty closed subset of the ... See full document

... new oscillation criteria under very mild conditions and more general assumptions to extend the above results for the neutral delay and mixed dynamic ... See full document

... new oscillation criteria for the second-order nonlinear delay dynamic equations r tx Δ t γ Δ ptfxτ t 0 on a time scale T; here γ > 0 is a quotient of odd ... See full document

... The purpose of this note is to derive some new oscillation criteria for Eq. (1.1). The organization of this paper is as follows: In the next section, we present the basic definitions and the theory of ... See full document

... obtaining criteria for oscillation of all solutions of dynamic equations on time ...about equations when no explicit sign assumptions are made with respect to the coefficient ... See full document