[PDF] Top 20 Oscillation criteria for second order quasi linear delay dynamic equations on time scales

... 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 ... 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

... 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; 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 the so-called delay function τ : T → T satisfies τ (t) ≤ t for t ∈ T and lim t→∞ τ ... 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

... so-called dynamic equations unify the theories of differential equations and difference equations, but also it is able to extend these classical cases to cases “in between”, ...of time ... 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

... 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 ...of time scales, by ... 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

... the time scales setting to obtain some new oscillation criteria which improve the results given by S¸ahiner 23 and Zhang and Shanliang 29 ... 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

... some second-order dynamic ...nonneutral second-order equation in the form of (NE) when p(t) ≡ ...some oscillation criteria, we refer the reader to the papers [1, 2, 9, 12] ... 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

... 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, ... 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

... 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

... 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

... 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