[PDF] Top 20 Oscillation Criteria for Second-Order Nonlinear Functional Dynamic Equations with Damping on Time Scales

... 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

... and second-order neutral delay dynamic equations on time scales, see ...considered second-order de- lay dynamic equation ...considered ... 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

... concerning oscillation and nonoscillation of solutions to neutral differential and dynamic equations on time scales, we refer the reader to [, ] and [–], and the references cited ... 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

... of dynamic equations on time scales, which goes back to Hilger [], provides a rapidly expanding body of literature where the main idea is to unify, extend, and generalise concepts from ... 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

... of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [] in order to unify continuous and discrete ...a time scale T is equal to R ... See full document

... first-and second-order dynamic equations on time-scales, see ...the oscillation of higher order ...new criteria for the oscillation of Equation ...for ... See full document

... of oscillation of nonlinear dynamic equations on time scales in the last few years; see [–] and the references ...some oscillation criteria successively for the ... 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

... 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

... a time scale T, where λ is the ratio of odd positive integers, q is a positive real-valued rd-continuous function defined on ...the oscillation of all solutions of (.) to the problem of oscillation ... See full document

... Saker, “Oscillation of second-order forced nonlinear dynamic equations on time scales,” Electronic Journal of Qualitative Theory of Differential Equations, no.. Ridenhour, “Hamiltonian sy[r] ... See full document

... The purpose of this paper is to establish new oscillation criteria of Eq. (.) for γ > , a quotient of odd positive integers, where functions p(t) and r(t) may not be monotonic, δ(t, ξ ) may not be ... See full document

... On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales Quanxin Zhang, Xia Song, Li Gao Department of Mathematics, Binzhou University, Shandong, China[r] ... 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

... 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 see Hilger 1 ...of time scales, by ... See full document

... 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