[PDF] Top 20 Oscillation criteria for second order nonlinear neutral difference equations of mixed type

... 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 an ... See full document

... Differential equations with delayed and advanced arguments (also called mixed differential equations or equations with mixed arguments) occur in many problems of economy, biology and ... See full document

... new oscillation criteria under very mild conditions and more general assumptions to extend the above results for the neutral delay and mixed dynamic ... 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

... In [–] the authors considered equation (.) with a(t) ≡ , α = β =  or α = β and obtained conditions for the oscillation of all solutions of equation (.). Motivated by this observation, in this paper we ... See full document

... G: Oscillation Theory of Delay Differential Equations with ...B: Oscillation of first order delay differential ...BG: Oscillation Theory for Functional Differential ...EM: ... See full document

... new oscillation criteria for nonlinear second order difference equations with mixed neutral ...first order equations whose oscillatory behaviors are ... See full document

... third order differential equations, see for example [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], and the references cited ... See full document

... Abstract In this article, some new oscillation criterion for the second order Emden-Fowler functional differential equation of neutral type.. Our results improve some well-known results w[r] ... See full document

... We obtain several oscillation criteria for a class of second-order nonlinear neutral differential equations. New theorems extend a number of related results reported in the ... 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

... 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

... In the following, we present some background details that motivate our research. Re- cently, Baculíková and Lacková [], Džurina and Hudáková [], Li et al. [, ], and Sun et al. [] established some ... See full document

... sharp oscillation constant for Euler type differential ...These criteria are expressed in terms of positive mutually conjugate numbers l and l ∗ , the multiplicative factor ϕ, and a function ... 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

... Candan Advances in Difference Equations 2013, 2013 112 http //www advancesindifferenceequations com/content/2013/1/112 R ES EA RCH Open Access Oscillation criteria for second order nonlinear neutral d[.] ... 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 ... See full document

... is often considered instead of (.) (for example, see [, , ]), because Sturm’s separa- tion and comparison theorems can be applied to equation (.). However, it is not easy to find an exact solution of equation ... See full document

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document

... of equations with nonnegative neutral coefficients; see, ...for equations with nonpositive neutral coefficients, there are relatively fewer results in the literature; see [3, 4, 6, 11, 14, ... See full document