[PDF] Top 20 9. Oscillation results for third order half-linear neutral difference equations

... In Section 2, we present sufficient conditions which ensure that all solutions of equation (1.1) are either oscillatory or converges to zero, and we present similar results for equation (1.2) in Section 3. ... See full document

... typical results regarding ...difference equations of type (1.4;δ), the study of higher-order equations, and in particular third-order equations of type ...for ... See full document

... main results. Section  contains main results of the paper and examples which prove that we provide sharp oscillation constant for Euler type differential ... See full document

... new oscillation criteria for more general second order neutral difference ...obtained results include similar results to the ones established for second order difference ... See full document

... second order half-linear Euler type difference equations whose coefficients have mean ...these equations are conditionally oscillatory and we explicitly identify the corresponding ... See full document

... The paper is organized as follows. In the next section, we recall basic oscillatory proper- ties of 1.1, including a quadratization formula for a certain nonlinear function which plays an important role in subsequent ... See full document

... The authors express their sincere gratitude to the anonymous referees for the careful reading of the original manuscript and useful comments that helped to improve the presentation of the results and accentuate ... See full document

... 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 two conditions required in ... See full document

... of 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 ...8, 9, 15, 20, ... See full document

... of oscillation theory for solution of half linear neutral differential equations has been recently considered the attention of many researches for the last several years, see ...the ... See full document

... Motivated by the above observations, in this paper, we have obtained some new suffi- cient conditions for the oscillation of all solutions of Eq. (1.1) by using a Riccati type trans- formation, a summation averaging ... See full document

... to third-order dynamic equations on time ...known results in the literature on third-order nonlinear dynamic equations and the results are established for a time ... See full document

... Neutral difference equations can be applied in several fields such as bifurcation analysis, population dynamics, stability theory, the dynamics of delayed network systems and ...of neutral ... See full document

... ON OSCILLATION CRITERIA FOR LINEAR AND NON-LINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS’’ contains four chapters it is meant to study the basic concept and various interesting result on ... See full document

... In the special case when α = , (.) reduces to (.). Now the following question arises. Could we obtain new Philos-type oscillation criteria for (.) by using a generalized Riccati transformation which differs ... See full document

... ential equations, especially for the first-order or second-order ...the oscillation for the second-order equations, researchers began to study the oscillation for the ... See full document

... dynamic equations on time scales, or mea- sure chains, and we refer the reader to the landmark paper of Hilger [] for a comprehen- sive treatment of the ...the oscillation and non-oscillation of ... See full document

... related results in the literature, but also improve some known results for a second-order delay dynamic equation without a neutral ...main results improve some related results ... 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

... 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