Results 51 to 60 of about 153,133 (265)
Resonant problem for some second-order differential equation on the half-line
We prove the existence of at least one solution to a nonlinear second-order differential equation on the half-line, with the boundary conditions $x'(0)=0$ and with the first derivative vanishing at infinity.
Katarzyna Szymanska
doaj
A singular nonlinear boundary value problem [PDF]
We show that the following nonlinear boundary-value problem has a positive solution: \[ \ddot{y}-y+yF(y^2,t)=0,y(0)=0=\lim_{t\to \infty}\,y(t),\dot{y}(0) \mathrm{ finite.} \] We assume that \(F\) is continuous for \(t>0\), \(y^2 \geq 0\); \(F>0\) for \(y^2 >0\); and \(\eta^{-\delta}F(\eta ,t)\) is strictly increasing in \(\eta\) for some \(\delta>0 ...
openaire +3 more sources
FDG‐PET Associations With Disease Severity and Outcomes in NMDA‐Receptor IgG Autoimmune Encephalitis
ABSTRACT Background Patients with N‐methyl‐D‐aspartate (NMDA) receptor‐immunoglobulin G (IgG) autoimmune encephalitis (NMDAR‐IgG AE) demonstrate occipital lobe hypometabolism on baseline brain fluorodeoxyglucose‐positron emission tomography (bFDG‐PET).
Jonathan K. Lee +7 more
wiley +1 more source
ABSTRACT Objective Isolated rapid eye movement sleep behavior disorder (iRBD) is a prodromal state for Lewy body disorders and exhibits biological heterogeneity that may influence clinical expression and progression. We examined clinical features in individuals with iRBD and biomarker‐defined synucleinopathy.
Daniel Weintraub +24 more
wiley +1 more source
Boundary value problem for fractional differential inclusions with integral boundary conditions [PDF]
PurposeIn this paper, we investigate the existence of solutions for a class of Caputo fractional differential inclusions with two integral boundary conditions. The convex and nonconvex cases are separately considered.
Aboubaker El-Saddik Bouziane +2 more
doaj +1 more source
ABSTRACT Objective We aim to comprehensively analyze how regional tumor and edema characteristics are associated with clinical presentations and survival outcomes in a large cohort of glioblastoma patients. Methods Patients with IDH‐wildtype glioblastoma who received brain MRI from 2010 to 2023 were included.
Daniel J. Zhou +16 more
wiley +1 more source
Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
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
wiley +1 more source
On two systems of non-resonant nonlocal boundary value problems
In this paper we consider the following two systems of k ...
Szymaňska-Debowska Katarzyna
doaj +1 more source
Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders
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
A selfadjoint hyperbolic boundary-value problem
We consider the eigenvalue wave equation $$u_{tt} - u_{ss} = lambda pu,$$ subject to $ u(s,0) = 0$, where $uinmathbb{R}$, is a function of $(s, t) in mathbb{R}^2$, with $tge 0$.
Nezam Iraniparast
doaj

