Periodic solutions of a first order differential equation [PDF]
The first order dynamical system $\dot{; ; z}; ; = F t, z)$ is considered, where $F$ is $T$-periodic in time and sub-linear at infinity. Existence of $T$--periodic solution is proved, using degree theory, and applications to non-convex amiltonian systems is given as well.
openaire +3 more sources
ABSTRACT Objective To distinguish lateralized motor‐ and sensory‐tract damage after acute spinal cord injury (SCI) and explore its predictive power for motor and sensory recovery. Methods Thirty‐five SCI patients (two female) from a multi‐center data set (placebo‐arm of the Nogo‐A‐Inhibition in SCI trial) underwent routine T2‐weighted sagittal MRI ...
Lynn Farner+7 more
wiley +1 more source
Almost Periodic Solutions of First-Order Ordinary Differential Equations
Approaches to estimate the number of almost periodic solutions of ordinary differential equations are considered. Conditions that allow determination for both upper and lower bounds for these solutions are found.
Seifedine Kadry+3 more
doaj +1 more source
Glial Fibrillary Acidic Protein Astrocytopathy Based on a Two‐Center Chinese Cohort Study
ABSTRACT Objective Glial fibrillary acidic protein astrocytopathy (GFAP‐A) is a recently defined nosological form belonging to the class of autoimmune inflammatory disorders affecting the central nervous system (CNS). Here, we report the clinical and MRI characteristics, treatment, and prognosis of a GFAP‐A cohort from two centers in China.
Ti Wu+13 more
wiley +1 more source
Higher order branching of periodic orbits from polynomial isochrones
We discuss the higher order local bifurcations of limit cycles from polynomial isochrones (linearizable centers) when the linearizing transformation is explicitly known and yields a polynomial perturbation one-form.
B. Toni
doaj
Multiplicity of Periodic Solutions for a Higher Order Difference Equation
We study a higher order difference equation. By Lyapunov-Schmidt reduction methods and computations of critical groups, we prove that the equation has four M-periodic solutions.
Ronghui Hu
doaj +1 more source
Timing and Predictive Value of Clinical Conditions Preceding Multiple Sclerosis in the UK Biobank
ABSTRACT Objectives Multiple sclerosis (MS) patients often experience a higher incidence of clinical conditions before diagnosis, suggesting a prodromal phase. However, their predictive value and temporal trajectories remain underexplored. We investigated these aspects using the large UK Biobank's population‐based cohort, which provided clinical ...
Andrea Nova+5 more
wiley +1 more source
Association of the ICH Score With Withdrawal of Life‐Sustaining Treatment Over a 10‐Year Period
ABSTRACT Objective The intracerebral hemorrhage (ICH) score was developed to enhance provider communication and facilitate early severity assessment. We examined the association of the ICH score with mortality and withdrawal of life‐sustaining treatment (WLST) in a large, multicenter stroke registry, and evaluated temporal trends in these associations.
Nina Massad+15 more
wiley +1 more source
Almost periodic solutions of second order nonlinear differential equations with almost periodic forcing [PDF]
C. E. Langenhop, George Seifert
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Digital Activity Markers in Chronic Inflammatory Demyelinating Polyneuropathy
ABSTRACT Objective To evaluate the utility of smartwatch and smartphone‐based activity metrics for assessing disease severity and quality of life in patients with chronic inflammatory demyelinating polyneuropathy (CIDP). Methods In the electronic monitoring of disease activity in patients with CIDP (EMDA‐CIDP) trial, we performed a prospective ...
Lars Masanneck+15 more
wiley +1 more source