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[PDF] Top 20 On ϕ0 stability of a class of singular difference equations

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On ϕ0 stability of a class of singular difference equations

On ϕ0 stability of a class of singular difference equations

... that stability is one of the basic problems in various dynamical ...the stability theory of difference equations are presented, for example, by Agarwal [], Elaydi [], Halanay and Rasvan [], ... See full document

10

On stability and state feedback stabilization of singular linear matrix difference equations

On stability and state feedback stabilization of singular linear matrix difference equations

... the stability of a class of linear singular discrete time systems whose coefficients are square constant matrices and the leading matrix coefficient is ...the stability of singular sys- ... See full document

20

Difference inequality for stability of impulsive difference equations with distributed delays

Difference inequality for stability of impulsive difference equations with distributed delays

... a class of 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, ... See full document

9

On a singular system of fractional nabla difference equations with boundary conditions

On a singular system of fractional nabla difference equations with boundary conditions

... a class of linear singular systems of fractional nabla difference equations whose coefficients are constant ...matrix singular, square with an identically zero matrix pencil and non-square, we ... See full document

24

Defect indices of singular symmetric linear difference equations with complex coefficients

Defect indices of singular symmetric linear difference equations with complex coefficients

... According to the classical von Neumann theory (cf. [1,2]) and its generalization [3], a symmetric operator or a Hermitian subspace has a self-adjoint extension if and only if its positive and negative defect indices are ... See full document

13

Dynamics of higher order rational difference equation $x_{n+1}=(\alpha+\beta x_{n})/(A + Bx_{n}+ Cx_{n-k})$

Dynamics of higher order rational difference equation $x_{n+1}=(\alpha+\beta x_{n})/(A + Bx_{n}+ Cx_{n-k})$

... global stability of a class of higher order difference equations that generalize equations of second orders that have been investigated in the references mainly in [23], [24], ... See full document

17

Investigation of the Class of the Rational Difference Equations

Investigation of the Class of the Rational Difference Equations

... In this paper, in section 2, we state the sufficient condition for the asymptotic stability of Equation (1). Next, in section 3, we study the existence of periodic solutions of Equation (1). Finally, we study the ... See full document

9

Stability of Difference Equations and Applications to Robustness Problems

Stability of Difference Equations and Applications to Robustness Problems

... difference equations see 4–8, ...difference equations like stability see 27, 29, 30, expansiveness see 6, dichotomy see 1, 5, 8, 15, 17, 19, 20, 32, and trichotomy as well see 7, 18, ...exponential ... See full document

24

Stability analysis of a certain class of difference equations by using KAM theory

Stability analysis of a certain class of difference equations by using KAM theory

... See [1]. Equation (3) has a unique positive equilibrium point, and the characteristic equa- tion of the linearized equation of (3) about the equilibrium point has two complex con- jugate roots on | λ | = 1. Several ... See full document

17

Stability and direction for a class of Schrödingerean difference equations with delay

Stability and direction for a class of Schrödingerean difference equations with delay

... A biological system is a nonlinear system, so it is still a public problem upon how to con- trol the biological system balance. The predecessors have done a lot of research. Especially the research on the predator-prey ... See full document

8

Global Asymptotic Stability in a Class of Difference Equations

Global Asymptotic Stability in a Class of Difference Equations

... asymptotic stability of a class of di ff erence ...difference equations which include some well-studied di ff erence equations such as those in [7, ... See full document

7

A converse to global exponential stability of a class of difference equations

A converse to global exponential stability of a class of difference equations

... The stability of the equation systems always catches researchers’ ...for stability theory and con- trol theory, and its existence is a necessary and sufficient condition of stability for many ... See full document

10

Exponentially practical stability of discrete time singular system with delay and disturbance

Exponentially practical stability of discrete time singular system with delay and disturbance

... In real world systems, the variation of systems’ current status often depends not only on the current state but also on the past state of the systems; such systems are called time delay systems. Examples of time delay ... See full document

23

On positive solutions for a class of singular nonlinear fractional differential equations

On positive solutions for a class of singular nonlinear fractional differential equations

... In the last few decades, fractional-order models are found to be more adequate than integer-order models for some real world problems. Recently, there have been some papers dealing with the existence and multiplicity of ... See full document

11

Stability problem of some nonlinear difference equations

Stability problem of some nonlinear difference equations

... Our aim in this paper is to study the asymptotic stability of the rational recursive sequence 1.4 when p 2, see section 2.. On the basis of the results of section 2 we also investigate t[r] ... See full document

10

Stability Results for a Class of Difference Systems with Delay

Stability Results for a Class of Difference Systems with Delay

... the stability analysis of many nonlinear discrete-time dynamical systems arising from practical problems, such as discrete-time Hopfield neural ...the stability domain may constitute a direction for future ... See full document

13

Stability and Periodic Nature of A System of Difference Equations

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

Stability and boundedness of solutions of the initial value problem for a class of time fractional diffusion equations

Stability and boundedness of solutions of the initial value problem for a class of time fractional diffusion equations

... The stability of the solution of a definite solution problem is of great importance in the theory of partial differential ...the stability of solutions of initial value problems for time-fractional diffusion ... See full document

10

A numerical approach for the solution of a class of singular boundary value problems arising in physiology

A numerical approach for the solution of a class of singular boundary value problems arising in physiology

... In this section we solve nonlinear singular boundary value problem of the form Eq. () with the mixed conditions Eq. () and Eq. () by using the operational matrix of derivative [] based on orthonormal ... See full document

10

Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations

Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations

... a class of nonlinear three point boundary value problems of fractional order implicit differential equations (FOIDEs) with some boundary and impulsive ...Hyers–Ulam stability (HUS) for our concerned ... See full document

21

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