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Using this representation theorem and the deterministic characterizations of exponential stability and uniform observability obtained in [ 16 ], [ 17 ], we will prove a result of
In this paper the problem of stability of the zero solution of singu- larly perturbed system of linear differential equation with state delays is investigated.. We show that if the
Abstract: In this paper, the global exponential stability of dynamical systems with distributed delays and impulsive effect is investigated.. By establishing an
We prove necessary and sufficient conditions for Ψ − (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation. But the obtained results in
This article presents the results on existence, uniqueness and stability of mild solu- tions of impulsive stochastic semilinear neutral functional differential equations without
Keywords: Third-order nonlinear differential equation; Exponential stability; Anti- periodic solutions; Deviating argument.. MR(2000) Subject Classification: 34C25,
Keywords: Risk diffusion processes; Distorted survival probability functions; Stochastic control; Stochastic differential games; Killing diffusions; Branching diffusions;
England, Com- ments on: “A comparison of stochastic models that reproduce chain ladder re- serve estimates”, by Mack and Venter. (Discussion)