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

... We assume that γ > 0 is a quotient of odd positive integers, r and p are positive, real- valued rd-continuous functions defined on T, τ : T → R is strictly increasing, and T : τT ⊂ T is a time scale, τ t ≤ t ... See full document

... A time scale T is an arbitrary nonempty closed subset of the reals R ...of dynamic equations on time scales is a fairly new topic, and work in this area is rapidly ...a dynamic ... 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

... various equations on time scales, we refer the reader to the papers which deal with the first-order dynamic equations [5–7] and second-order dynamic ... See full document

... some oscillation criteria for ...half-linear delay dynamic equation (.) on time scales, where  < α ≤  is the quotient of odd positive integers and established some suf- ficient ... 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

... 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 time scales and time scale notation are assumed, for an excellent introduction to the calculus on time scales; see Bohner and Peterson [, ...the oscillation and asymptotic ... 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

... of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger [1] in his PhD thesis in 1988 in order to unify contin- uous and discrete ...the oscillation of ... 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 Bohner and Saker [5], Erbe [6], Erbe et ...the oscillation of the ... 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

... 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 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

... With the rapid development of science, the contributions of mathematical researchers are more urgent than ever before. Thus, beyond the purely mathematical interest, all of the above make the theory of dynamic ... 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

... 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 second-order nonlinear neutral delay dynamic equations with nonpositive neutral ...differential equations. New oscillation criteria are established that ... See full document

... 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