[PDF] Top 20 Oscillation criteria for first order forced nonlinear difference equations

... the oscillation of ...new criteria for the oscillation of ...the oscillation of (1.1) and employ the same techniques to obtain oscillation results for the neutral ... See full document

... Remark 3.7We observe therefore that theorem (3.6) show that if (U 3) holds and (1) is non oscillatory then the sequence q either converges or diverges to −∞. This is not true in the differential equations case (cf ... See full document

... the oscillation of equations of mixed type is necessary as such equations arise in mathematical modeling, for example, in the growth of bacteria population with competitive ...general ... See full document

... presented oscillation criteria which improved the existing results for the ...the oscillation of all solu- tions of equation ...new oscillation criteria, which improve and complement ... See full document

... (ii) Oscillation criteria established in [] are based on a different approach than that ap- plied here, namely by comparing () with certain first- and second-order difference equa- tions whose ... See full document

... have been studied extensively in recent years, see e.g. [1-21] and the references quoted therein. Moreover, in 2011, Wang [22] established some oscillation criteria for Equation (1.1) firstly, some new ... See full document

... In this paper, we shall investigate some oscillation criteria for the solutions of mth-order nonlinear neutral difference equation where m ≥ 1. The results presented here complement some of the ... See full document

... the oscillation constant. Other results on the oscillation constant for difference equations can be found in [–] and the references cited ... See full document

... interval oscillation criteria for a class of second-order nonlinear forced differential equations with variable exponent growth ...the oscillation of equations with ... See full document

... of oscillation of differential equations, there are two techniques which are used to reduce the higher-order equations to the first-order Riccati equation or ...for ... See full document

... Equations of this type arise in a number of important applications such as problems in population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on the ... 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

... We have two aims in this paper. The first aim is to remove the condition (1.5) in Theorem 1.1 and to demonstrate this with an example. The second goal is to extend the technique developed by Rogovchenko and Tuncay ... See full document

... We obtain some oscillation criteria for solutions of the nonlinear delay differ αj ence equation of the form xn+1 − xn + pn m j=1 xn−k = 0.. 2000 Mathematics Subject Classification.[r] ... See full document

... The first attempt for Equation () was due to Graef et al. [], who investigated the case of () with α =  and ψ (u) ≡ . In , Wong and Agarwal studied the oscillatory behavior of () with ψ(u) ≡  and the existence ... See full document

... difference equations has been discussed in many ...the oscillation of the solutions to deterministic difference ...the oscillation of the solutions of stochastic difference ...the oscillation of ... See full document

... no significant progress took place on this line. But recently, when we took up the definition of  as given in (1), the theory of difference equations are developed in a different direction. For ... See full document

... Abstract. In this work, we consider the existence of nonoscillatory solutions of second order nonlinear neutral differential equations. Our results include as special cases some well-known results ... 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

... second-order nonlinear neutral delay dynamic equations with nonpositive neutral ...differential equations. New oscillation criteria are established that complement and improve ... See full document