[PDF] Top 20 Asymptotic behavior of a system of linear fractional difference equations
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Asymptotic behavior of a system of linear fractional difference equations
... Our goal in this paper is to investigate the effect of the parameters a and d on the global behavior of solutions of system (1.2). We will show that the parameters a and d can have stabilizing effect for the ... See full document
17
Asymptotic behavior of a system of two difference equations of exponential form
... Difference equations have many applications in applied sciences, there are many papers and books that can be found concerning the theory and applications of difference equations, see [1, 4, 6, ... See full document
11
Asymptotic behavior of a competitive system of linear fractional difference equations
... See also [11, 17]. In [2] we show that when A < 1, B < 1, the stable manifold of the positive equilibrium (1 − B, 1 − A) of system (1.2) separates the positive quadrant into basins of attraction of two types ... See full document
13
Stability implications on the asymptotic behavior of nonlinear systems
... Stability Implications on the Asymptotic Behavior of Second Order Differential Equations, Proc.. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.[r] ... See full document
8
Asymptotic Behavior of Equilibrium Point for a Family of Rational Difference Equations
... This paper presents the use of a variational iteration method for systems of nonlinear difference equations. This technique is a powerful tool for solving various difference equations and can also be applied ... See full document
10
Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
... with fractional differences, one may consult, for example, the works by Agarwal et ...the fractional calculus on the time scale Z to other time scales, and one may consult Bastos et ...discrete ... See full document
31
Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type
... differential-difference equations of Volterra type are often used to model biological populations, see [13, 16, ...of linear Volterra difference equations of both convolution and nonconvolution types ... See full document
29
Asymptotic Behavior of Solutions for Linear Implicit Difference Equations with Index 1
... implicit linear systems containing a small parameter in the leading term has been studied in ...of asymptotic behavior of the solutions of IDEs when the perturbation is varying in time and affects ... See full document
10
Asymptotic Bounds for Linear Difference Systems
... differential equations and its discretizations in the framework of the time-scale theory are discussed in 8, 19 ...differential equations with a proportional delay we can mention at least 9, 20–22 and the ... See full document
14
Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions
... a system of linear delay difference equations has finite limit at infinity, if some conditions are ...for asymptotic constancy of the ... See full document
20
The stable equilibrium of a system of piecewise linear difference equations
... generalized system of piecewise linear difference equations examined in this paper was created as a prototype to understand the global behavior of more complicated ...global behavior ... See full document
10
Stability and asymptotic properties of a linear fractional difference equation
... Till lately, it was an open question whether or not (.) is also necessary for the uni- form asymptotic stability (or asymptotic stability) of (.). Only recently, Elaydi et al. [] have constructed a ... See full document
14
On asymptotic stability of Prabhakar fractional differential systems
... the asymptotic stability analysis of fractional differential systems with the Prabhakar fractional ...of fractional differential ...of fractional differential systems in the sense of ... See full document
9
Asymptotic behavior of solution for a fractional Riemann-Liouville differential equations on time scales
... The theory of dynamic equations on time scales, which has recently received a lot of attention, was introduced by Hilger in his Ph.D. thesis [1] in order to unify continuous and discrete analysis. The books on the ... See full document
8
Reducibility and Stability Results for Linear System of Difference Equations
... In this section, we give a theorem on the structure of the matrix Sn, and provide an example for illustration. The results in this section are discrete analogues of the ones given in 1 . Theorem 2.1. The homogeneous ... See full document
6
Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions
... coupled system of singular fractional difference equations with fractional sum boundary ...the system and using Schauder’s fixed point ... See full document
22
Asymptotic behavior of increasing positive solutions of second order quasilinear ordinary differential equations in the framework of regular variation
... differential equations to determine the exact asymptotic behavior at infinity of the solutions under the appropriate assumptions for the coefficients of an ...their asymptotic behavior at ... See full document
22
Asymptotic behavior of impulsive non autonomous delay difference equations with continuous variables
... delay difference equations have extensively been studied by many ...delay difference equations with continuous variables are not well developed due to some the- oretical and technical ...delay ... See full document
10
On the Global Character of the System of Piecewise Linear Difference Equations and
... We have presented the complete results concerning the global character of the solutions to System 1.1. We divided the real plane into 8 sections and utilized mathematical induction, proof by iteration, and direct ... See full document
14
Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations
... Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations.. We determine sufficient conditions under which every solution of ( ∗ ) is either.[r] ... See full document
6
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