We present a generalized form of Halanay’s inequality, having time varying gain multiplying the delayed term, and constant decay rate. Unlike usual conditions where rate is required to be strictly larger than an upper bound on we provide less restrictive that allow times when can gain. include application continuous systems with switched delay values. This illustrates utility our inequality for...

Standard belief contraction assumes an underlying logic containing full classical propositional logic, but there are good reasons for considering contraction in less expressive logics. In this paper we focus on Horn logic. In addition to being of interest in its own right, our choice is motivated by the use of Horn logic in several areas, including ontology reasoning in description logics. We c...

In a recent work [5] various Markov and ergodicity properties of the nonlinear filter, for the classical model of nonlinear filtering, were studied. It was shown that under quite general conditions, when the signal is a Feller-Markov process with values in a complete separable metric space E then the pair process (signal, filter) is also a FellerMarkov process with state space E × P(E), where P...

Contraction of a liquid sheet of an incompressible Newtonian fluid in a passive ambient fluid is studied computationally to provide insights into the dynamics of capillary wave created during contraction. The problem composed of the Navier-Stokes system is associated with initial and boundary conditions that govern the time evolution of the capillary wave and the pressure and velocity fields wi...

We consider an integro-differential stiff problem, which can be used as a model for the vibrations of a body with hnear viscoelasticity at large times First, the problem is introduced in the framework of the theory of semigroups in Hubert spaces and then, an asymptotic expansion ofihe solution is obtained Fwally, it is shown the double convergence, when e —• 0 + , ofthe eigenvalues of the probl...

The aim of this paper is to analyze contractivity properties of Wasserstein-type metrics for one-dimensional scalar conservation laws with nonnegative, L∞ and compactly supported initial data and its implications on the long time asymptotics. The flux is assumed to be convex and without any growth condition at the zero state. We propose a time–parameterized family of functions as intermediate a...

background: we sought to assess right ventricular (rv) systolic and diastolic functions via tissue doppler imaging (tdi) in order to discriminate right-to-left (bidirectional) from left-to-right intracardiac shunts. methods: a tissue doppler velocity study via doppler echocardiography was performed in 20 patients with left-to-right shunt (without evidence of significant pulmonary hypertension) ...

We provide a generalization of Halanay’s inequality, where the decay rate is constant but gain multiplying delayed term time varying. While usual conditions require to be strictly larger than an upper bound on gain, our less restrictive results allow times when can exceed rate. This allows us prove asymptotic stability in significant cases that were not amenable previous Lyapunov function const...

The aim of this paper is to study oscillatory and asymptotic properties of the third-order nonlinear delay differential equation (E) ˆ a(t) ˆ x ′′(t) ̃ γ ̃ ′ + q(t)f(x [τ (t)]) = 0. Applying suitable comparison theorems we present new criteria for oscillation or certain asymptotic behavior of nonoscillatory solutions of (E). Obtained results essentially improve and complement earlier ones. Variou...

Asymptotic stability for difference equations with decreasing arguments D. M. Chan , E. R. Chang , M. Dehghan , C. M. Kent , R. Mazrooei-Sebdani & H. Sedaghat To cite this article: D. M. Chan , E. R. Chang , M. Dehghan , C. M. Kent , R. Mazrooei-Sebdani & H. Sedaghat (2006) Asymptotic stability for difference equations with decreasing arguments, Journal of Difference Equations and Applications,...