[PDF] Top 20 Oscillation of higher order neutral dynamic equations on time scales

... on time scales T unbounded from above and for which the forward jump operator has a certain explicit form given by s(t) = at + b, where a ≥ 1, b ≥ 0 are ...to time scales T that are different ... See full document

... about higher-order neutral dynamic equations on time-scales and the various generalizations? We refer the reader to the articles 23, 24 and we will consider the particular ... See full document

... establish several new oscillation criteria for the equation by employing Kiguradze’s lemma, the Taylor monomials on time scales and a generalized Riccati technique. The obtained results extend and ... 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

... 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 oscillation and stability of delay dynamic equations on time ...on oscillation and existence of nonoscillatory solutions for dynamic equations can be found in the ... See full document

... the oscillation and nonoscillation of solutions of dynamic equations on time scales since Hilger introduced the theory of time scale which was excepted to unify continuous and ... See full document

... establish oscillation criteria of third-order nonlinear dynamic equations with nonpositive neutral coefficients on time scales by a generalized Riccati transformation and ... 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 , and Hassan 7 ...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 Bohner and Saker [5], Erbe [6], Erbe et ...the oscillation of the ... 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 oscillation and asymptotic behavior of solutions of some dynamic equa- tions on time scales, and we refer the reader to the papers [–] and the references cited ... 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

... for oscillation of all solu- tion on unbounded time scales are ...the oscillation of higher order impulsive dynamic equations on time ... See full document

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

... of time scales was introduced by Hilger [1] in order to unify, extend and generalize ideas from discrete calculus, quantum calculus and continuous calculus to arbitrary time scale ...of ... 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 decreasing ... 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

... In the proof of Theorem 2.3, first (2.1) is reduced to a first-order delay dynamic equation in the form of (2.2) and then, by similar steps of the proof of well-known oscillation criterion given by ... See full document