[PDF] Top 20 Oscillation of a higher order neutral difference equation with a forcing term

... of higher-order neutral differ- ence equations, ...Yu, Oscillation in neutral delay difference equations with variable coefficients, ... See full document

... has been considered. In [] sufficient conditions are obtained for the existence of solu- tions, which are equivalent to a polynomial. In [] a criterion is given for existence of nonoscillatory solutions with non-zero ... See full document

... tional order, the oscillation and nonoscillation of solutions for integer order second order difference equations are still considered as an open area to investigate ...with neutral ... See full document

... new oscillation criteria for more general second order neutral difference ...second order difference equations with linear neutral terms or nonlinear neutral terms reported in the ... See full document

... Recently, neutral delay difference equations, that is, difference equations in which the highest order difference of the unknown sequence appears both with and without delays, have ... See full document

... Second Order Linear Neutral Delay Difference Equations with Forcing term, International Journal of Engineering Research and Applications (IJERA), ... See full document

... Difference equations have attracted a great deal of attention of researchers in mathematics, biology, physics, and economy. This is specially due to the applications in various problems of biology, physics, economy. Among ... See full document

... above method usually does not give sufficient conditions for the oscillation of all solutions of Eq. (). However, when assuming that the solutions of Eq. () satisfy appropriate con- ditions, sufficient conditions ... See full document

... In this paper, we present some new oscillation criteria for the equation (1.1). The obtained results simplifies the known results in the literature in the sense that we need only one condition instead of ... 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

... tions {x(n)} of Eq. (1.1) which satisfy sup {|x(n)| : n ≥ N} > 0 for all n ≥ N, and assume that Eq. (1.1) possesses such solutions. As usual, a solution of Eq. (1.1) is called oscillatory if it is neither eventually ... See full document

... of difference equations involving ∆ but the study of the same property of difference equations involving ∆ ` is ...new oscillation criteria ... 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 price at ... See full document

... above equation is transformed into a new one, which is a third-order non-neutral difference ...new equation, the asymptotic properties of the neutral difference equation are ... See full document

... The oscillation theory of difference equations and their applications have been receiving intensive attention in the last few decades, see for example [1, 2, 4], and the references cited ...second ... See full document

... A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories International Journal in IT and Engineering.. http:/[r] ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 394635, 9 pages doi 10 1155/2009/394635 Research Article On a Conjecture for a Higher Order Rational Difference[.] ... See full document

... so that y n (t) is eventually of one-signed. Hence, lower-order derivatives y i (t) , 0 ≤ i ≤ n - 1, are monotone and one-signed eventually. We must have y(t) >0, since other- wise we obtain a contradiction ... See full document

... In Section 2, we present some preliminary lemmas and in Section 3, we establish some sufficient conditions which ensure that all solutions of equation (1.1) are either oscillatory or con[r] ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 767620, 14 pages doi 10 1155/2010/767620 Research Article Solvability of a Higher Order Nonlinear Neutral Delay[.] ... See full document