1 Abstract. In this work we investigate the exponential stability of the zero solution to systems of dynamic equations on time scales. We define suitable Lyapunov-type functions and then formulate appropriate inequalities on these functions that guar-antee that the zero solution decay to zero exponentially. Several examples are given. 1
AbstractIn this paper we examine the stability and instability of the equilibrium solution x = 0 to ...
Stability of dynamic equations on time scales is investigated in this paper. The main results are ne...
We examine the conditions of asymptotic stability of second-order linear dynamic equations on time ...
We investigate the exponential stability of the zero solution to a system of dynamic equations on t...
We investigate the exponential stability of the zero solution to a system of dynamic equa-tions on t...
We are interested in the exponential stability of the zero solution of a functional dynamic equation...
Consider the linear dynamic equation on time scales ( ) ( ) ( ) ( ) ( ) [)0 0 0, ; , ,,Tx t A t...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
AbstractIn this paper, we deal with some theorems on the exponential stability of trivial solution o...
Stability of dynamic equations on time scale is analyzed. The main results are new conditions of sta...
AbstractWe study conditions under which the solutions of a time varying linear dynamic system of the...
AbstractIn this paper we examine the stability and instability of the equilibrium solution x = 0 to ...
Stability of dynamic equations on time scales is investigated in this paper. The main results are ne...
We examine the conditions of asymptotic stability of second-order linear dynamic equations on time ...
We investigate the exponential stability of the zero solution to a system of dynamic equations on t...
We investigate the exponential stability of the zero solution to a system of dynamic equa-tions on t...
We are interested in the exponential stability of the zero solution of a functional dynamic equation...
Consider the linear dynamic equation on time scales ( ) ( ) ( ) ( ) ( ) [)0 0 0, ; , ,,Tx t A t...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
AbstractIn this paper, we deal with some theorems on the exponential stability of trivial solution o...
Stability of dynamic equations on time scale is analyzed. The main results are new conditions of sta...
AbstractWe study conditions under which the solutions of a time varying linear dynamic system of the...
AbstractIn this paper we examine the stability and instability of the equilibrium solution x = 0 to ...
Stability of dynamic equations on time scales is investigated in this paper. The main results are ne...
We examine the conditions of asymptotic stability of second-order linear dynamic equations on time ...