We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a nonnegative coefficient. Some examples on nonstandard time scales are also given to show applicability and sharpness of the new results
We first give conditions which guarantee that every solution of a first order linear delay dynamic e...
AbstractThe importance of Lyapunov functions is well known. In the general setting of nonautonomous ...
AbstractWe give sufficient conditions under which the trivial solution of a nonlinear dynamic equati...
This paper is concerned with the uniform exponential stability of ordinary and delay dynamic equatio...
We give conditions under which the trivial solution of a first-order nonlinear variable-delay dynami...
This paper deals with the global uniform exponential stability independent of delay of time-delay li...
AbstractNew explicit conditions of exponential stability are obtained for the nonautonomous equation...
This paper deals with the global uniform exponential stability independent of delay of time-delay li...
This work provides necessary and sufficient conditions for the exponential asymptotic stability in t...
AbstractNew explicit conditions of exponential stability are obtained for the nonautonomous linear e...
We first give conditions which guarantee that every solution of a first order linear delay dynamic e...
AbstractWe shall obtain sufficient conditions for the uniform stability and the global asymptotic st...
AbstractFor linear delay differential and difference equations with one coefficient matrix A, we giv...
AbstractNew explicit exponential stability conditions are obtained for the nonautonomous linear equa...
Consider the linear differential equation x(t)= Σi=1npi(t)x(t-ti)=0, t≥t0where p C([t0∞), R) and ti\...
We first give conditions which guarantee that every solution of a first order linear delay dynamic e...
AbstractThe importance of Lyapunov functions is well known. In the general setting of nonautonomous ...
AbstractWe give sufficient conditions under which the trivial solution of a nonlinear dynamic equati...
This paper is concerned with the uniform exponential stability of ordinary and delay dynamic equatio...
We give conditions under which the trivial solution of a first-order nonlinear variable-delay dynami...
This paper deals with the global uniform exponential stability independent of delay of time-delay li...
AbstractNew explicit conditions of exponential stability are obtained for the nonautonomous equation...
This paper deals with the global uniform exponential stability independent of delay of time-delay li...
This work provides necessary and sufficient conditions for the exponential asymptotic stability in t...
AbstractNew explicit conditions of exponential stability are obtained for the nonautonomous linear e...
We first give conditions which guarantee that every solution of a first order linear delay dynamic e...
AbstractWe shall obtain sufficient conditions for the uniform stability and the global asymptotic st...
AbstractFor linear delay differential and difference equations with one coefficient matrix A, we giv...
AbstractNew explicit exponential stability conditions are obtained for the nonautonomous linear equa...
Consider the linear differential equation x(t)= Σi=1npi(t)x(t-ti)=0, t≥t0where p C([t0∞), R) and ti\...
We first give conditions which guarantee that every solution of a first order linear delay dynamic e...
AbstractThe importance of Lyapunov functions is well known. In the general setting of nonautonomous ...
AbstractWe give sufficient conditions under which the trivial solution of a nonlinear dynamic equati...
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