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

... the oscillation criteria given in this article are new for the corresponding difference equations and some of these results are new for the correspond- ing differential and/or delay differential ...to ... 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

... 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

... 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 calculus on ... 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

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

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

... 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

... on time scales, where a(t) ≥ t and g(t) ≤ t. Using Riccati transformation, integral averaging technique, and comparison theorem, we give some new criteria for the oscillation of the studied equation. ... See full document

... of oscillation of nonlinear dynamic equations on time scales in the last few years; see [–] and the references ...some oscillation criteria successively for the ... See full document

... new oscillation criteria for the second-order nonlinear delay dynamic equations on time ...the oscillation of the second-order nonlinear delay differential ... 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

... 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

... advanced dynamic equation on time scales, such as the h- difference equation (h > 0), and it is also called a finite difference equation, ...differential equations on time ... 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

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