Integral stability in terms of two measures for impulsive 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...

Integral Φ0-Stability of Impulsive Differential Equations

In this paper, the notions of integral 0 φ -stability of ordinary impulsive differential equations are introduced. The definition of integral 0 φ -stability depends significantly on the fixed time impulses. Sufficient conditions for integral 0 φ -stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the s...

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

On impulsive fuzzy functional differential equations

In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.

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...