Results 51 to 60 of about 26,698 (263)

Oscillatory Radial Solutions of Semilinear Elliptic Equations

Journal of Mathematical Analysis and Applications, 1997
We study the oscillatory behavior of radial solutions of the nonlinear partial differential equation Δu + f(u) + g(|x|, u) = 0 inRn, where f and g are continuous restoring functions, uf(u) > 0 and ug(|x|, u) > 0 for u ≠ 0. We assume that for fixedq limu → 0(|f(u)|/|u|q) = B > 0, for 1 < q < n/(n − 2), and, additionally, that 2F(u) ≥ (1 − 2/n)uf(u) when
Derrick, William R., Chen, Shaohua, Cima, Joseph A.   +2 more
openaire   +2 more sources

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, Eun‐Hyuk Choi, Jorge Otero‐Millan, David S. Zee, Jeong‐Yoon Choi, Ji‐Soo Kim   +5 more
wiley   +1 more source

Oscillatory Solutions to Neutral Delay Differential Equations

Mathematics, 2021
This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β1ıΦα[ζr−1ı]′+β3ıΦα[ςξı]=0.
Fahad Alsharari, Omar Bazighifan, Taher A. Nofal, Khaled Mohamed Khedher, Youssef N. Raffoul   +4 more
doaj   +1 more source

Boundary‐Dependent Sleep–Wake Dysregulation in Idiopathic Hypersomnia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Idiopathic hypersomnia (IH) presents with excessive daytime sleepiness (EDS) despite apparently preserved nocturnal sleep, challenging traditional models of hypersomnolence based on sleep loss or fragmentation. We aimed to test the hypothesis that EDS in IH reflects excessive stabilization of the sleep state, consistent with ...
Samantha Mombelli, Karine Lacourse, Hélène Blais, Anne‐Sophie Deshaies‐Rugama, Cynthia Thompson, Alex Desautels, Jacques Montplaisir, Milan Nigam, Christophe Moderie, Boshra Khajehpiri, Catherine Duclos, Jean Marc Lina, Julie Carrier, Nadia Gosselin   +13 more
wiley   +1 more source

Oscillation of solutions to second-order nonlinear differential equations of generalized Euler type

Electronic Journal of Differential Equations, 2013
We are concerned with the oscillatory behavior of the solutions of a generalized Euler differential equation where the nonlinearities satisfy smoothness conditions which guarantee the uniqueness of solutions of initial value problems, however, no ...
Asadollah Aghajani, Donal O'Regan, Vahid Roomi   +2 more
doaj  

Complementing Engel Classification: Postoperative Scalp EEG as an Objective Indicator in SEEG‐Guided Radiofrequency Thermocoagulation—A Seizure‐Onset Pattern‐Based Stratified Analysis—

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Stereoelectroencephalography‐guided radiofrequency thermocoagulation (SEEG‐RFTC) is a minimally invasive therapy for drug‐resistant focal epilepsy. However, the relationship between specific seizure‐onset patterns (SOPs), particularly low‐voltage fast activity (LVFA), and postoperative scalp EEG normalization remains inadequately ...
Yi‐qing Yang, Rui Zhang, Haiyan Ma, Lu Yang, Xuefeng Qu, Qiqi Chen, Yan Zhang   +6 more
wiley   +1 more source

Oscillation of solutions to second-order neutral differential equations

Electronic Journal of Differential Equations, 2014
We study the oscillatory behavior of solutions to second-order neutral differential equations. We show that under certain conditions, all solutions are oscillatory.
Tongxing Li, Ethiraju Thandapani
doaj  

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, Zhang, Guang, Liu, Shu Tang   +2 more
openaire   +3 more sources

Associations Between Biomarkers of Alzheimer's Disease and Sleep in Cognitively Unimpaired Older Adults

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Sleep disturbances have been implicated as a risk factor for developing Alzheimer's disease (AD), but evidence linking plasma AD biomarkers to sleep in cognitively unimpaired individuals remains limited. The present study examined associations between evening, morning, and overnight changes in plasma AD biomarkers and measures of ...
Cornelia Sauter, Hans Dorn, Julian Hellmann‐Regen, Ana Bueno‐Lopez, Verena van Ginneken, Heidi Danker‐Hopfe   +5 more
wiley   +1 more source

Oscillations for an equation arising in groundwater flow with the relaxation time

Mathematical Modelling and Analysis, 2011
Groundwater flow problems are mostly formulated by means of massbalance equation combined with Darcy's law. In this way, the flow is governed by a parabolic equation.
Jiri Mls, Leopold Herrmann
doaj   +1 more source