Results 61 to 70 of about 3,713,292 (304)
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
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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 +13 more
wiley +1 more source
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
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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
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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 +6 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
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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
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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 +5 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background While autoimmune encephalitis (AE) outcomes vary, serostatus‐specific prognostic determinants and institutional clustering effects remain poorly characterized. We aimed to delineate the distinct prognostic architecture of AE, identifying serostatus‐specific risk factors and potential therapeutic windows.
Xiaohong Tang +17 more
wiley +1 more source
Electronic Journal of Differential Equations, 2007 This paper concerns the fourth order differential equation $$ x''''+ax'''+f(x'')+g(x')+h(x)=p(t). $$ Using the Cauchy formula for the particular solution of non-homogeneous linear differential equations with constant coefficients, we prove that the
Mathew O. Omeike
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