Results 41 to 50 of about 5,158,783 (295)
Periodic solutions of nonlinear vector difference equations
Advances in Difference Equations, 2006 Essentially nonlinear difference equations in a Euclidean space are considered. Conditions for the existence of periodic solutions and solution estimates are derived.
Gil' MI
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On oscillatory nonlinear fourth-order difference equations with delays [PDF]
Mathematica Bohemica, 2018 In this work, oscillatory behaviour of solutions of a class of fourth-order neutral functional difference equations of the form \begin{equation*} \Delta^2(r(n)\Delta^2(y(n)+p(n)y(n-m)))+ q(n)G(y(n-k))=0 \end{equation*} is studied under the assumption ...
Arun K. Tripathy
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Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To assess the utility, accessibility, and equivalence to supervised scales of online cognitive assessment in older individuals with cognitive impairment. Methods Patients with Alzheimer's disease (AD, n = 31), idiopathic normal pressure hydrocephalus (iNPH, n = 26), and traumatic brain injury (TBI, n = 23) completed online cognitive ...
Martina Del Giovane +10 more
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On a class of fourth-order nonlinear difference equations
Advances in Difference Equations, 2004 We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+- and F−-solutions.
Ewa Schmeidel +2 more
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Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park +5 more
wiley +1 more source
Asymptotic Solutions of nonlinear difference equations [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2010 We study the asymptotics of first-order nonlinear difference equations. In particular we present an asymptotic functional equation for potential asymptotic behaviour, and a theorem stating sufficient conditions for the existence of an actual solution with such asymptotic behaviour.
openaire +2 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Progressive brain atrophy has now been widely observed in the chronic stages of moderate–severe traumatic brain injury (msTBI), but there is only coarse information regarding its prevalence and magnitude, and whether rate of atrophy accelerates or attenuates across time. We examined these questions in a Canadian inception cohort from
Robin E. A. Green +6 more
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, 2002 In this paper, we consider a boundary value problem (BVP) for nonlinear difference equations on the discrete semi-axis in which the left-hand side being a second order linear difference expression belongs to the so-called Weyl-Hamburger limit-circle case.
Guseinov, GS
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Utility of the APE2 Score as a Diagnostic Tool for Autoimmune Encephalitis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To retrospectively evaluate the diagnostic performance of the Antibody Prevalence in Epilepsy and Encephalopathy (APE2) score relative to clinician‐adjudicated autoimmune encephalitis (AE) and the Graus criteria in a tertiary neuroimmunology referral cohort, including antibody‐negative AE.
Bijoya Basu +3 more
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Positive Decreasing Solutions of Higher-Order Nonlinear Difference Equations
Advances in Difference Equations, 2010 It is shown that the decay rates of the positive, monotone decreasing solutions approaching the zero equilibrium of higher-order nonlinear difference equations are related to the positive characteristic values of the corresponding linearized equation ...
Krasznai B, Győri I, Pituk M
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