[PDF] Top 20 Oscillation of second order neutral delay and mixed type dynamic equations on time scales

... 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] and ... See full document

... differential equations and dy- namic equations on time scales; we refer the reader to the papers ...Regarding oscillation of second-order neutral differential ... 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

... 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

... This paper is organized as follows: in Section 2, we present the basic definitions and the theory of calculus on time scales. In Section 3, we apply a simple consequence of Kellers chain rule, devoted to ... See full document

... of dynamic equations on time scales, we refer the reader to [1–23] and the references cited ...particular, oscillation of dynamic equations with damp- ing attracted ... See full document

... linear delay dynamic equations by Agarwal, Bohner and Saker in 2005 [1] (7) and the nonlinear delay dynamic equations by Sahiner [2] (6), some sufficient conditions for ... 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

... quotient of odd positive integers with r , a, and p real-valued positive rd-continuous functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on ... See full document

... Interval oscillation criteria are more natural in view of the Sturm comparison theory since it is stated on an interval rather than on infinite rays and hence it is necessary to establish more interval ... See full document

... with oscillation and asymptotic behavior of a second-order neutral delay dynamic equation on an arbitrary time ... 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

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

... 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

... 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

... 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

... Philos-type oscillation criteria for second order nonlinear neutral delay dynamic equations on time scales, ...Long, Oscillation criteria for ... 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 equations with nonnegative neutral coefficients; see, ...for equations with nonpositive neutral coefficients, there are relatively fewer results in the literature; see [3, 4, 6, 11, 14, ... See full document