Small-gain conditions used in analysis of feedback interconnections are contraction conditions which imply certain stability properties. Such conditions are applied to a finite or infinite interval. In this paper we consider the case, when a small-gain condition is applied to several disjunct intervals and use the density propagation condition in the gaps between these intervals to derive globa...

The earliest reference that we found in the medical literature to the condition that ultimately came to be known as Dupuytren’s Disease was a report by Felix Plater in the 17 century. Plater described a stone mason with “contraction of the fingers of the left hand into the palm” [1]. However, he mistakenly attributed the condition to contracture of the tendons, rather than of the palmar fascia ...

BACKGROUND Increased impulsive loading and muscle co-contraction during gait have been observed in individuals with knee osteoarthritis. Proprioceptive deficits in this population may contribute to these effects. Proprioception has been shown to improve with the combination of stochastic resonance electrical stimulation and a knee sleeve in knee osteoarthritis. Our goal was to determine whether...

Abstract In this work, we investigate h - ϕ contraction mappings with two metrics endowed a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of solutions Caputo fractional boundary value problems integral condition type. addition, also give examples and numerical experiments supporting our main results.

In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, existence and uniqueness theorem a solution for obtained using Lipschitz condition Banach contraction principle. Then, expression derived by mathematical induction. On basis, we obtain via Gronwall–Bellman inequality. Finally, two examples equations are given to explain our main results.

The convergence of a Presić type k-step iterative method for a new class of operators f : Xk → X satisfying a general Presić type contraction condition is proved. Our result is completing an existing list of Presić type iteration methods, see [Rus I. A., An iterative method for the solution of the equation x = f(x, . . . , x), Rev. Anal. Numer. Theor. Approx., 10(1) (1981), 95–100] and the rece...

Plasma endothelin-1 (ET-1) levels are elevated in spinal cord injury (SCI), and ET-1 may be involved in the pathophysiology of this condition. However, its effects on contractile function of the heart of SCI rats are still unknown. To define more clearly the possible role of ET-1 following SCI, we investigated the effect of ET-1 on the contraction, calcium transients and L-type calcium current ...

Dessy, Chantal, Inkyeom Kim, Carrie L. Sougnez, Regent Laporte, and Kathleen G. Morgan. A role for MAP kinase in differentiated smooth muscle contraction evoked by a-adrenoceptor stimulation. Am. J. Physiol. 275 (Cell Physiol. 44): C1081–C1086, 1998.—The purpose of this study was to investigate the potential role of mitogen-activated protein (MAP) kinase in smooth muscle contraction by monitori...