Results 91 to 100 of about 725,779 (280)
Existence of solutions to a second order partial differential equation with nonlocal conditions
Electronic Journal of Differential Equations, 2003 Using the cosine function theory, we prove the existence of mild and classical solutions for an abstract second-order Cauchy problem with nonlocal conditions.
Eduardo Hernandez M.
doaj
International Journal of Mathematics and Mathematical Sciences, 2001 We consider abstract differential equations of the form u′(t)=Au(t)+f(t) or u″(t)=Au(t)+f(t) in Banach spaces X, where f(⋅), ℝ→X is almost-periodic, while A is a linear operator, 𝒟(A)⊂X→X.
Samuel Zaidman
doaj +1 more source
, 2018 The study of symmetries of partial differential equations (PDEs) has been traditionally treated as a geometrical problem. Although geometrical methods have been proven effective with regard to finding infinitesimal symmetry transformations, they present ...
Papachristou, C. J.
core
Abstract methods in differential equations
, 2003 The author surveys his research of the last twenty years on a functional analytic approach to quasilinear parabolic systems. The main topics are: local well-posedness and global existence, linearization and stability criteria, coercivity conditions for parabolic systems, interpolation-extrapolation scales and quasilinear problems.
openaire +3 more sources
Tracking Motor Progression and Device‐Aided Therapy Eligibility in Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To characterise the progression of motor symptoms and identify eligibility for device‐aided therapies in Parkinson's disease, using both the 5‐2‐1 criteria and a refined clinical definition, while examining differences across genetic subgroups.
David Ledingham +7 more
wiley +1 more source
Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon +12 more
wiley +1 more source
Journal of Inequalities and Applications, 1998 A semilinear abstract differential-delay equation with a nonautonomous linear part is considered. Solution estimates are derived. They generalize Wazewski and Lozinskii inequalities. Conditions for global stability are established.
Gil' MI
doaj
Well-posedness of semilinear stochastic wave equations with H\"{o}lder continuous coefficients
, 2016 We prove that semilinear stochastic abstract wave equations, including wave and plate equations, are well-posed in the strong sense with an $\alpha$-H\"{o}lder continuous drift coefficient, if $\alpha \in (2/3,1)$.
Masiero, Federica, Priola, Enrico
core
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Poststroke fatigue (PSF) and frailty share substantial overlap in their manifestations, yet previous research has yielded conflicting results due to the use of heterogeneous frailty assessment tools. Objective To evaluate the independent impact of frailty on PSF using a unified measurement system (Tilburg Frailty Indicator, TFI ...
Chuan‐Bang Chen +6 more
wiley +1 more source
Accelerated Progression of Gait Impairment in Parkinson's Disease and REM Sleep Without Atonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective People with Parkinson's disease (PD) and rapid eye movement (REM) sleep without atonia (RSWA) often have more severe gait disturbances compared to PD without RSWA. The association between the presence and expression of RSWA and the rate of progression of gait impairment in PD is unknown.
Sommer L. Amundsen‐Huffmaster +11 more
wiley +1 more source