[PDF] Top 20 Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations

... In this paper, we derive sufficient conditions which ensures that every solution of (1.1) is either oscillatory or tends to zero under the condition (1.11). Our work is motivated by Li et al. [10] and our present ... See full document

... 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 ...of oscillatory behavior ... See full document

... Remark . In this paper, we establish some new oscillation theorems for (.) in the case where p is finite or infinite on I. The criteria obtained extend the results in [] and improve those reported in []. ... See full document

... of oscillatory solutions for second-order nonlinear neutral delay difference equations are ...of oscillatory solutions are presented, which extend and improve some ... See full document

... The oscillatory and asymptotic behavior results for a class of third-order nonlinear neutral dynamic equations on time scales are ...third-order neutral ... See full document

... Advanced differential equations can find applications in a mass of real world problems where the evolution rate depends on present and future values of the quantity. Therefore, taking into account the impact of ... See full document

... for nonlinear second order difference equations with mixed neutral ...first order equations whose oscillatory behaviors are already ...of nonlinear ... 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

... be oscillatory if its terms are neither eventually positive nor eventually negative, and otherwise it is called ...be oscillatory if all its solutions are ... See full document

... differential equations and study the oscillatory behavior of a kind of first-order neutral nonlinear differential equation with time delay ...The oscillatory properties of ... See full document

... function. For the first one, it is also usual to assume, when dealing with oscillation and nonoscillation, that f (n, · ) is “sign-preserving,” that is, f (n,x) · x ≥ 0 for all n ∈ N and all x ∈ R . The simplest result ... See full document

... for second order nonlinear difference equation has been the subject of investigation in ...which oscillatory theorem of linear difference equations of second ... See full document

... and asymptotic behavior of a second-order neutral delay dynamic equation on an arbitrary time ...two theorems which guarantee that every solution of the studied 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 nonlinear difference equation was studied intensively by ...of oscillatory behavior of solutions of nonlinear neutral delay difference ...fourth order ... See full document

... the oscillatory and asymptotic behavior of solutions of neutral difference equations, see [1]-[5], and the references cited ...the oscillatory and asymptotic ... See full document

... and presented oscillation criteria which improved the existing results for the equation. In [], the authors established some sufficient conditions for the oscillation of all solu- tions of equation (.) via comparison ... 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 ... See full document

... SZMANDA, B., Oscillation Theorems for Nonlinear Second-order Difference Equations, J.. Li, Z.H., A Note on the Oscillatory Property for Nonlinear Difference Equations and Differentlal Eq[r] ... See full document

... the difference equationssatisfied by them are presented,we combine these complexities to represent in difference equations having a connection with a standard reciprocal equation in this ...even ... See full document