Results 51 to 60 of about 66,753 (329)

On the asymptotic spatial behaviour of the solutions of the nerve system [PDF]

, 2015
In this paper we investigate the asymptotic spatial behavior of the solutions for several models for the nerve fibers. First, our analysis deals with the coupling of two parabolic equations. We prove that, under suitable assumptions on the coefficients
Leseduarte Milán, María Carme, Quintanilla de Latorre, Ramón   +1 more
core   +2 more sources

Diabetes‐induced vascular calcification is associated with low pyrophosphate and its oral supplementation prevents calcification in diabetic mice

FEBS Open Bio, EarlyView.
Induction of diabetes in three different mouse strains uniformly resulted in an increase in TNAP activity and a reduction in pyrophosphate (PPi) in the circulation. Inhibition of TNAP restored plasma PPi. Diabetes‐induced calcification in the media layer of the aorta was detected only in the Abcc6−/− strain, which is predisposed to ectopic ...
Krisztina Fülöp, Eszter Kozák, Natália Tőkési, Lilian Kocsis, Anikó Kelemen, Zsuzsanna Geszti, Adriána Kutás, Mariann Harangi, Ágnes Diószegi, Zsolt Rapi, József Balla, Olivier Le Saux, András Váradi, Viola Pomozi   +13 more
wiley   +1 more source

On Robust Stability of Differential-Algebraic Equations with Structured Uncertainty

Известия Иркутского государственного университета: Серия "Математика", 2018
We consider a linear time-invariant system of differential-algebraic equations (DAE), which can be written as a system of ordinary differential equations with non-invertible coefficients matrices.
A. Kononov
doaj   +1 more source

Separating metric perturbations in near-horizon extremal Kerr spacetimes [PDF]

, 2017
Linear perturbation theory is a powerful toolkit for studying black hole spacetimes. However, the perturbation equations are hard to solve unless we can use separation of variables.
Chen, Baoyi, Stein, Leo C.
core   +1 more source

Near Horizon Extremal Geometry Perturbations: Dynamical Field Perturbations vs. Parametric Variations [PDF]

, 2014
In arXiv:1310.3727 we formulated and derived the three universal laws governing Near Horizon Extremal Geometries (NHEG). In this work we focus on the Entropy Perturbation Law (EPL) which, similarly to the first law of black hole thermodynamics, relates ...
Hajian, K., Seraj, A., Sheikh-Jabbari, M. M.   +2 more
core   +2 more sources

Stability theorems of perturbed linear ordinary differential equations

Journal of Mathematical Analysis and Applications, 1990
The paper refers to the stability of \(dx/dt=A(t)x+f(t,x)\) with a ``large'' perturbation basically satisfying \(\| f(t,x)\| \leq F(t,\| x\|)\) with F monotone increasing in the second variable. The theorems significantly extend many classical results. The proofs essentially use integral inequalities.
openaire   +2 more sources

Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon, Nathalie Picard, Valeria d'Andrea, Enchi Chang, Joseph Leffler, Eleonora Centofante, Matthew Taylor, Francesca Bardi, Francesca Cavicchiolo, Takao K. Hensch, Stefano Panzeri, Chinfei Chen, Michela Fagiolini   +12 more
wiley   +1 more source

Bifurcation of multi-bump homoclinics in systems with normal and slow variables

Electronic Journal of Differential Equations, 2000
Bifurcation of multi-bump homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Feckan
doaj  

Applications of the Kosambi–Cartan–Chern Theory to Hamiltonian Systems on a Cotangent Bundle: Linking Geometric Quantities to the Self-Similar Motions of Three Point Vortices

Mathematics
This study presents a differential geometric framework for Hamiltonian systems expressed in terms of first-order differential equations. For systems governed by second-order ordinary differential equations on tangent bundles, such as Euler–Lagrange ...
Yuma Hirakui, Takahiro Yajima
doaj   +1 more source

Generalized nonuniform dichotomies and local stable manifolds

, 2013
We establish the existence of local stable manifolds for semiflows generated by nonlinear perturbations of nonautonomous ordinary linear differential equations in Banach spaces, assuming the existence of a general type of nonuniform dichotomy for the ...
AJG Bento, AJG Bento, António J. G. Bento, C Pugh, César M. Silva, D Ruelle, D Ruelle, L Barreira, L Barreira, O Perron, P Thieullen   +10 more
core   +1 more source