[PDF] Top 20 Oscillation of Second Order Sublinear Dynamic Equations with Damping on Isolated Time Scales

... the oscillation of solution of second-order damped dynamic equations on time scale which attempts to harmonize the oscillation theory for continuousness and discreteness, ... See full document

... investigate oscillation and nonoscillation of certain second order neutral dynamic equations with positive and negative ...related dynamic equations along with some ... See full document

... of τ(t) ≤ t, assumption τ(δ(t)) < t is already satisfied when δ(t) < t and the proofs do not change. Assumption τ(t) < t implies the immediate result τ(δ(t)) < δ(t). Therefore, we conclude the following which ... 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

... 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

... first-and second-order dynamic equations on time-scales, see ...the oscillation of higher order ...the oscillation of Equation (1.1). This topic is fairly ... 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

... In , Candan [] discussed the oscillation of Eq. (.) for δ(t, ξ ) ≤ t and δ(t, ξ) > t, respectively, where γ >  is a quotient of odd positive integers. In [], δ(t, ξ ) is decreasing with respect to ξ ... 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

... m   t p t       t [3] L. H. Erbe, “Oscillation Criteria for Second Order Linear Equations on Atime Scale,” Canadian Applied Mathe- matics Quarterly, Vol. 9, No. 4, 2001, pp. 345-375. ... See full document

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

... 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

... for oscillation of a fourth order dynamic equation on time scales with deviating ...the oscillation behavior of solutions for strongly superlinear and strongly sublinear ... 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

... the oscillation and non-oscillation of solutions of dynamic equations on time ...with second-order dynamic equations whereas for higher order ... 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

... 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

... 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 positive integers ... See full document