[PDF] Top 20 Oscillation of Higher Order Linear Impulsive Dynamic Equations on Time Scales

... A time scale is an arbitrary non-empty closed subset of the real numbers ...the time scale under consideration is not bounded above, i.e., it is a time scale interval of the form ...any time ... 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 equation 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], Erbe et ...the oscillation of the ... 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

... 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

... 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 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

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

... 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 time scale calculus has tremendous potential for applications in mathematical models of real processes, for example, in physics, chemical technology, population dynamics, biotechnology and economics, neural ... 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

... 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

... 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 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

... 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

... Dynamic equations with deviating argument are deemed to be adequate in modeling of the countless processes in all areas of ...delay dynamic equations under consideration is the dependence of ... 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

... 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