Stability on a cone in terms of two measures for differential equations with ``maxima''

Stability on a Cone in Terms of Two Measures for Differential Equations with “maxima”

Stability in terms of two measures for nonlinear differential equations with “maxima” is studied. A special type of stability in terms of two measures is defined. The new type of stability generalizes some of the known in the literature. Sufficient conditions for the defined stability are obtained. Cone-valued continuous Lyapunov functions are applied. Method of Razumikhin as well as comparison...

Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales

We present a new comparison principle by introducing a notion of upper quasi-monotone nondecreasing and obtain the practical stability criteria for set valued differential equations in terms of two measures on time scales by using the vector Lyapunov function together with the new comparison principle.

On the Asymptotic Stability in Terms of Two Measures for Functional Differential Equations

Practical Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”

The object of investigations is a system of impulsive differential equations with “supremum.” These equations are not widely studied yet, and at the same time they are adequate mathematical model of many real world processes in which the present state depends significantly on its maximal value on a past time interval. Practical stability for a nonlinear system of impulsive differential equation...

Stability Analysis in Terms of Two Measures for Setvalued Hybrid Integro-differential Equations of Mixed Type

We study some stability criteria in terms of two measures for setvalued perturbed hybrid integro-differential equations of mixed type with fixed moments of impulse. Stability properties of perturbed system are obtained via a comparison result which connects the solutions of perturbed system and the unperturbed one through the solutions of a comparison system. AMS (MOS) Subject Classification. 3...