Results 41 to 50 of about 41,848 (268)
Oscillatory solutions of nonlinear fourth order differential equations with a middle term
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions.
Miroslav Bartusek, Zuzana Dosla
doaj +1 more source
Characterizing Cutaneous α‐Synuclein Deposition and Seeding Activity in Parkinson's Disease Subtypes
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cutaneous phosphorylated α‐synuclein (p‐syn) and α‐synuclein seeding activity are promising biomarkers for Parkinson's disease (PD), but their clinical value remains uncertain due to disease heterogeneity. This study evaluates these two biomarkers in PD patients to inform phenotype‐specific diagnosis and disease severity assessment ...
Yuting Jin +8 more
wiley +1 more source
Asymptotic behaviour of solutions to $n$-order functional differential equations
Electronic Journal of Differential Equations, 2005 We establish conditions for the linear differential equation $$ y^{(n)}(t)+p(t)y(g(t))=0 $$ to have property A. Explicit sufficient conditions for the oscillation of the the equation is obtained while dealing with the property A of the equations.
Seshadev Padhi
doaj
On asymptotic behaviour of oscillatory solutions for fourth order differential equations
Electronic Journal of Differential Equations, 2007 We establish sufficient conditions for the linear differential equations of fourth order $$ (r(t)y'''(t))' =a(t)y(t)+b(t)y'(t)+c(t)y''(t)+f(t) $$ so that all oscillatory solutions of the equation satisfy $$ lim_{toinfty}y(t)=lim_{toinfty}y'(t)=lim_ ...
Seshadev Padhi, Chuanxi Qian
doaj
Mathematical Modelling and AnalysisConformable differential equations, based on the recently introduced conformable derivative, represent a novel and increasingly popular class of differential equations.
Huseyin Bereketoglu +3 more
doaj +1 more source
Abstract and Applied Analysis, 2011 We focus on studying approximate solutions of damped oscillatory solutions of generalized KdV-Burgers equation and their error estimates. The theory of planar dynamical systems is employed to make qualitative analysis to the dynamical systems which ...
Weiguo Zhang, Xiang Li
doaj +1 more source
STABILITY OF OSCILLATORY SOLUTIONS OF DIFFERENCE EQUATIONS WITH DELAYS
Taiwanese Journal of Mathematics, 1999 The authors obtain conditions for the stability of oscillatory solutions of two functional difference equations.
Cheng, Sui Sun +2 more
openaire +3 more sources
Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore whether routine outpatient video combined with deep learning‐based pose estimation and clinically interpretable kinematic features can support multi‐label phenotyping of co‐occurring hyperkinetic movement disorders (HMDs).
Laura Cif +17 more
wiley +1 more source
On the oscillation of the solutions to linear difference equations with variable delay
Electronic Journal of Differential Equations, 2008 A new criterion for the oscillation of the solutions to linear difference equations with variable delay is established. This criterion is based on a new fundamental lemma, which provides a useful inequality for the nonoscillatory solutions of the ...
Christos G. Philos +2 more
doaj
Mathematics, 2021 This is the first on a series of articles that deal with nonlinear dynamical systems under oscillatory input that may exhibit harmonic and non-harmonic frequencies and possibly complex behavior in the form of chaos.
Elena Hernandez +3 more
doaj +1 more source