[PDF] Top 20 Reducibility and Stability Results for Linear System of Difference Equations
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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 ... See full document
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Asymptotic behavior of a competitive system of linear fractional difference equations
... asymptotic results ranging from very simple behavior where all solutions are converging to (0, 0) when A > 1, B > 1, to the case of an infinite number of nonhyperbolic equilibrium points when A = 1 or B = ... See full document
13
Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices
... A dynamical system is called positive if any solution of the system starting from nonnegative states maintains nonnegative states forever. In many applications where variables represent nonnegative ... See full document
15
The z transform method for the Ulam stability of linear difference equations with constant coefficients
... Ulam stability was originated from a question on group homomor- phisms posed by Ulam [24] in ...of stability is sum- marized as follows: “Under what conditions can a solution of a perturbed equation be ... See full document
15
Difference inequality for stability of impulsive difference equations with distributed delays
... Difference equations usually appear in the investigation of systems with discrete time or in the numerical solution of systems with continuous time ...of difference equations has been ... See full document
9
Asymptotic behavior of a system of linear fractional difference equations
... precise results for the special case of system ...basic results on the equilibrium points and their stability and prove some asymptotic results for the unique equilibrium point of ... See full document
17
Stability properties and existence theorems of pseudo almost periodic solutions of linear Volterra difference equations
... To be best of author’s observation, no article has been published regarding the inves- tigation of pseudo almost periodicity of a linear Volterra difference equation with infi- nite delay. Thus, our ... See full document
11
Stability results for the linear degenerate fractional differential system
... tial equations such as multibody mechanics, electrical circuits, prescribed path control, chemical engineering, ...tial equations can describe more complex dynamical models than state-space systems, due to ... See full document
17
Some roughness results concerning reducibility for linear difference equations
... Suppose that 2.1 ha a fttndamental matrix solution Xn which has an exponential dichotomy with a projection P and that 2.1 is reducible withP by the kinematic similarity Sn to 2.5... If Y[r] ... See full document
12
Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations
... difference equations/recurrent relations started to attract a serious interest of scientist working in various branches of ...nice results on the equations, and the area has been growing ...difference ... See full document
21
Perspectives on integrating a computer algebra system into advanced calculus curricula
... the stability test for an n'th order linear difference equation based on the Schur Theorem ...the stability test for systems of linear constant coefficient first order difference ... See full document
16
Chaotification for linear delay difference equations
... difference equations have been studied by many ...few results on the chaotifica- tion of linear delay difference ...of linear delay difference equa- tions and prove that the controlled ... See full document
11
On stability and state feedback stabilization of singular linear matrix difference equations
... uniform stability to be applied in singular ...the system (1) and proved that all solutions of the non homogeneous system are bounded provided that the homogeneous system (3) is asymptotically ... See full document
20
Stability and Periodic Nature of A System of Difference Equations
... Di¤erence equations and their systems play a crucial role in di¤erent …elds of ...studied stability of equilibrium points, periodicity and boundedness of di¤erence equations or their ...di¤erence ... See full document
11
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 ... See full document
14
Some results on q difference equations
... Zhang et al Advances in Difference Equations 2012, 2012 191 http //www advancesindifferenceequations com/content/2012/1/191 R ES EA RCH Open Access Some results on q difference equations Junchao Zhang[.] ... See full document
11
A Study On Oscillation Criteria for Linear and Non Linear Neutral Delay Differential Equations
... 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 oscillation of second order ... See full document
20
The Difference Splitting Scheme for Hyperbolic Systems with Variable Coefficients
... The assumption of positive definiteness of the matrix C is not mandatory [1]. It is introduced to simplify the construction of the difference scheme. In fact, if the matrix C does not satisfy this assumption, then ... See full document
8
Stability analysis of fractional order linear system with time delay described by the Caputo–Fabrizio derivative
... applying the Laplace transform and matrix theory we give a necessary and sufficient stability condition and some brief sufficient stability conditions. The proposed method is quite different from the other in ... See full document
8
Existence and stability of solutions to non linear neutral stochastic functional differential equations in the framework of G Brownian motion
... differential equations (SDEs) have been used profitably in a variety of fields in- cluding population dynamics, engineering, environments, physics and ...important equations such as Parker’s transport equation ... See full document
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