[PDF] Top 20 An asymptotic result for some delay difference equations with continuous variable

... obtained some significant results on the asymptotic behavior, the nonoscillation, and the stability of the solutions of first-order scalar linear delay differen- tial equations with constant ... See full document

... besides delay effects, impulsive effects likewise exist in a wide variety of evolutionary process, in which states are changed abruptly at certain moments of ...impulsive delay difference ... See full document

... Difference equations with continuous variables are difference equations in which the unknown function is a function of a continuous variable ...These equations appear as natural ... See full document

... difference equations with continuous variable without im- pulses has been investigated by some authors, see, for example, [1–3, 5, ...impulsive delay di ff erence equations with ... See full document

... one-dimensional continuous map and obtained the well-known result, that is, ‘period  implies ...chaos, some are stronger and some are ... See full document

... the continuous case, analogous investiga- tions have recently been made for the behavior of the solutions of some classes of lin- ear autonomous or periodic delay or neutral delay difference ... See full document

... give some sufficient conditions to guarantee the asymptotic stability and uniform boundedness of certain vector second-order nonlinear delay differential equations with a continuous ... See full document

... is applied to make the final solution fourth-order accurate in both time and space. Besides, the extensions of the solver to other complex delay problems are studied in detail. Finally, numerical results ... See full document

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

... difference equations with variable coefficients, as well as of non-autonomous systems of difference equations, is much more complicated than that of the relevant autonomous models; see, for example, [, ... See full document

... where a(x), b(t), g(t, x), f (t, x) are given sufficiently smooth functions and δ >  is a suf- ficiently large number. It will be assumed that a(x) ≥ a > . The discretization of prob- lem () is carried out in two ... See full document

... results of Agarwal (1992), Dawidowski et al. (2001), Drozdowicz and Popenda (1987), M. Migda (2001), and M. Migda and J. Migda (1988). We suppose that f has values in Banach space and satisfies some conditions ... See full document

... Schrödinger equations with a superlinear Neumann boundary value problem have gained a lot of interest in recent years, in particular in the context of systems for the mean field dynamics of Bose–Einstein ... See full document

... where y is a nontrivial characteristic solution of (2.3) corresponding to the set Λ (μ). As a preparation for the proof of Theorem 2.3, we establish a useful technical result. Recall that if g is a meromorphic ... See full document

... evolution equations with delay in Banach ...establish some new existence theorems of periodic mild solutions for the ...and delay, we present essential conditions on the nonlinear and impulse ... See full document

... [1]. Introducing the positive parameters a and d, we have created the unique positive equilibrium and we have forced all solutions of (1.1) to converge to this unique positive equilibrium. A similar conclusion holds in ... See full document

... the asymptotic theory of the solutions of Volterra difference equations is extensive, and application of this theory is rapidly increasing to various ...difference equations, we choose to refer to the ... See full document

... discrete equations. In [] delayed discrete equations are considered by retract tech- nique, and in [] the retract principle is given for discrete time ...dynamic equations in the ... See full document

... the asymptotic properties of the solutions of second order differential equations [1] [2] difference equ- ations of the type (E) and/or related equations have been investigated by many ... See full document

... The oscillatory behavior of difference equations has been intensively studied in recent years. Most of the literature has been concerned with equations of type (1.1) with l = 1 (see [1–10] and references ... See full document