[PDF] Top 20 Oscillation of second order nonlinear dynamic equations with positive and negative coefficients

... Erbe and Peterson [] also discussed the oscillation of (), where r(t) > . When no ex- plicit sign assumptions are made with respect to the coefficient p, they established some sufficient conditions for the ... See full document

... investigate oscillation and nonoscillation of certain second order neutral dynamic equations with positive and negative ...related dynamic equations along ... See full document

... difference equations has received much attention in recent years due to its extensive applications in computer, probability theory, queuing problems, sta- tistical problems, stochastic time series, combinatorial ... See full document

... Saker, “Oscillation of second-order forced nonlinear dynamic equations on time scales,” Electronic Journal of Qualitative Theory of Differential Equations, no.. Ridenhour, “Hamiltonian sy[r] ... See full document

... delay dynamic equations are common in applications, for exam- ple, in economics, where the demand depends on current price and the supply depends on the price at an earlier time, and in the study of ... See full document

... eventually positive nor eventually ...for oscillation of all solutions of dynamic equations on time ...about equations when no explicit sign assumptions are made with respect to the ... See full document

... According to the solution of (1), we mean a nontrivial real-valued function x satisfying (1) for t ∈  . We re- call that a solution x of Equation (1) is said to be oscillatory on [ t 0 , ∞ )  in case it is neither ... 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 third-order ... See full document

... This paper is concerned with oscillation and asymptotic behavior of a second-order neutral delay dynamic equation on an arbitrary time scale. We obtain two theorems which guarantee that every ... 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 ... 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 delay ... See full document

... a positive integer, l is the ratio of positive odd ...higher order difference equations and differential equations are as special ... See full document

... difference equations, and dynamic equations on time scales have an enor- mous potential for applications in biology, engineering, economics, physics, neural net- works, social sciences, ...of ... See full document

... continuous dynamic systems, die out, say in winter, while their eggs are incubating or dormant, and then in season again, hatching gives rise to a nonoverlapping population see Bohner and Peterson 3 ... See full document

... Interval oscillation criteria are more natural in view of the Sturm comparison theory since it is stated on an interval rather than on infinite rays and hence it is necessary to establish more interval ... 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

... studying oscillation of solutions to different classes of differential equations due to the fact that they have numerous appli- cations in natural sciences and engineering; see, ...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

... Thandapani, Oscillation and nonoscil- lation results for general nonlinear difference equations, Proceedings of Dynamic Systems and Applications (Atlanta, GA), ...2, Dynamic, 1996, ... See full document

... with α ∈ [ 0, 1 ) , where T t 0 D t α x is the Riemann-Liouville fractional derivative of order α of x on time scales. We obtain some asymptotic behavior of solutions for the equation by developing a generalized ... See full document