[PDF] Top 20 Oscillation of a logistic difference equation with several delays

... reduce oscillation (nonoscillation) of a nonlinear equation which is obtained from ...the oscillation (nonoscil- lation) problem for some linear ...developed oscillation theory for linear ... See full document

... The theory of partial functional differential equations can be applied to many fields, such as biology, population growth, engineering, control theory, physics and chemistry, see the monograph [1] for basic theory and ... See full document

... Oscillation of first-order delay-difference and differential equations has been extensively studied in the last two decades. As is well known, most results for delay differential equations have their analogues for ... See full document

... presents several useful lemmas. In Section , we derive the oscillation criterion for partial difference equation ...our oscillation criterion in Section ... See full document

... on oscillation of second-order linear difference ...J: Oscillation of second-order linear difference ...BG: Oscillation of delay difference equations in a critical ... 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 ...delay difference ... See full document

... Recently, as the difference analogs of Nevanlinna’s theory were being investigated [–], many results on the complex difference equations have been got rapidly. Many papers [, –] mainly deal with the growth of ... See full document

... with an arbitrary bounded delay hn: n − T ≤ hn ≤ n for some integer T > 0 and any n. Since 0.3|sinn| |1 − 1.5| ≤ 0.8 < 1, then by Corollary 2.3 this equation is exponentially stable. Lemma 1.4 is formulated ... 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

... constant matrix A established in Corduneanu [3], we derive explicit stability conditions. Further, we suppose that the unperturbed linear difference equations have a bounded growth. Actually, this work is an extension of ... See full document

... difference equation of convolution ...are several results concerning the boundedness, asymptotic behavior, admissibility, and periodicity of the solution of a Volterra difference ... See full document

... But “a question ” of mathematics and biology is whether stable and sustained oscillation possible for 1.1, when αβ > 1, increases. In the present paper, we provide a detailed analysis of these questions. ... See full document

... 1. Introduction. In this paper, we investigate a singular transport equation which arises as a model of the blood production system. Similar models have been investigated in [1, 4, 5, 6, 7, 8, 9]. In the model we ... See full document

... was extended in [], and more general cases were studied. On the other hand, the oscilla- tion of solutions for fractional difference equations, which is the discrete counterpart of the corresponding fractional ... See full document

... The oscillation theory as a part of the qualitative theory of differential equa- tions has been developed rapidly in the last decades, and there has been a great deal of works on the oscillatory behavior of ... 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

... Consider equation (.) and assume that τ (t) is continuously differentiable and that there exists θ >  such that p(τ (t))τ (t) ≥ θ p(t) eventually for all t. Under this additional as- sumption, in , Kon et ... See full document

... impulsive difference equations with distributed ...delay difference inequality and using the properties of “r-cone” and eigenspace of the spectral radius of non-negative matrices, some new sufficient ... See full document

... growth equation, we included the residual variation from the regression equation by adding random normal deviates with 0 mean and standard deviation set by the ... See full document

... ject of intensive study in the last decade. For typical results regarding (1.4;δ), we refer the reader to the monographs [1, 2, 4, 8, 12], the papers [3, 6, 11, 15], and the ref- erences cited therein. However, compared ... See full document