[PDF] Top 20 Oscillation of Even Order Nonlinear Functional Dynamic Equations on Time Scales

... The rest of the paper is organized as follows. In the next section, we present some basic definitions and results concerning the calculus on time scales. In Section III, we give several useful lemmas. In ... 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

... 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

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

... 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

... 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

... 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

... 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 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 second-order ... 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 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

... 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

... 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

... 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

... 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

... of dynamic equations on time scales which goes back to its founder Hilger [1] as an area of mathematics that has received a lot of ...in order to unify the study of differential and ... See full document