We obtain new explicit exponential stability results for difference equations with several variable delays and variable coefficients. Several known results, such as Clark’s asymptotic stability criterion, are generalized and extended to a new class of equations. Copyright q 2009 L. Berezansky and E. Braverman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
Abstract. For the equation with a distributed delay x′(t) + ax(t) + Z 1 0 x(s+ [t − 1])dR(s) = 0 we...
For linear difference equations with coefficients and delays varying in time, sufficient conditions ...
In [1], Kuruklis has obtained the necessary and sufficient conditions for the asymptotic stability o...
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We give sufficient conditions for the exponential stabilizability of a class of perturbed time-varyi...
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AbstractIn this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0)...
Abstract. For the equation with a distributed delay x′(t) + ax(t) + Z 1 0 x(s+ [t − 1])dR(s) = 0 we...
For linear difference equations with coefficients and delays varying in time, sufficient conditions ...
In [1], Kuruklis has obtained the necessary and sufficient conditions for the asymptotic stability o...
Sufficient conditions that guarantee exponential decay to zero of the variable delay difference equa...
We derive explicit stability conditions for time-dependent difference equations with several delays ...
AbstractThis paper is concerned with the linear delay partial difference equation u(i,j+1)=a(i,j)u(i...
AbstractWe shall obtain sufficient conditions for the uniform stability and the global asymptotic st...
In this paper, by using a novel approach, we first prove a new generalization of discrete-type Halan...
This paper is concerned with the uniform exponential stability of ordinary and delay dynamic equatio...
We give sufficient conditions for the exponential stabilizability of a class of perturbed time-varyi...
The paper investigates the exponential stability and exponential estimate of the norms of solutions ...
AbstractNew explicit conditions of exponential stability are obtained for the nonautonomous equation...
This paper investigates the exponential stability of a class of uncertain systems with multiple time...
summary:We propose a new method for studying stability of second order delay differential equations....
AbstractIn this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0)...
Abstract. For the equation with a distributed delay x′(t) + ax(t) + Z 1 0 x(s+ [t − 1])dR(s) = 0 we...
For linear difference equations with coefficients and delays varying in time, sufficient conditions ...
In [1], Kuruklis has obtained the necessary and sufficient conditions for the asymptotic stability o...