Results 121 to 130 of about 961,498 (296)

Limit cycles of the generalized Li'enard differential equation via averaging theory

Electronic Journal of Differential Equations, 2012
We apply the averaging theory of first and second order to a generalized Lienard differential equation. Our main result shows that for any $n,m geq 1$ there are differential equations $ddot{x}+f(x,dot{x})dot{x}+ g(x)=0$, with f and g polynomials of ...
Sabrina Badi, Amar Makhlouf
doaj  

Generalized Averages for Solutions of Nonlinear Operators

Journal of Mathematical Analysis and Applications, 2000
The author considers the twopoint boundary value problem \[ \bigl( \varphi(u') \bigr)'+f(u)=0,\;u(0)=u(T)=0, \] with \(\varphi\in C'(\mathbb{R},\mathbb{R})\), \(\varphi\) is strictly increasing, \(\varphi(\mathbb{R}) =\mathbb{R}\) and \(\varphi(0)=0\).
openaire   +2 more sources

Anti‐CD20 Discontinuation Versus Continuation in People Aged Over 50 With Non‐Active Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine whether discontinuing anti‐CD20 therapy in people with relapsing‐onset MS aged over 50 is associated with an increased risk of relapse, inflammatory activity, confirmed disability accrual, and serious infection compared with continuing therapy.
Alexia Moukhine, Fabien Rollot, Romain Casey, Nicolas Collongues, Sandra Vukusic, Guillaume Mathey, Anne Laure Dubessy, Jonathan Ciron, Jérôme De Seze, Aurélie Ruet, Pierre Labauge, Arnaud Kwiatkowski, Hélène Zephir, Caroline Papeix, Gilles Defer, Christine Lebrun‐Frenay, David Axel Laplaud, Eric Berger, Eric Thouvenot, Jean Pelletier, Abdullatif Al Khedr, Olivier Casez, Bertrand Bourre, Abir Wahab, Laurent Magy, Jean‐Philippe Camdessanché, Ines Doghri, Solène Moulin, Mariana Sarov Rivière, Karolina Hankiewicz, Amélie Dos Santos, Corinne Pottier, Eric Manchon, Jennifer Aboab, Maia Tchikviladze, Thomas David, Gilles Edan, Emmanuelle Le Page, Laure Michel, Anne Kerbrat, OFSEP Investigators   +40 more
wiley   +1 more source

Boundary value problem for system of finite-difference with averaging equations

Журнал Белорусского государственного университета: Математика, информатика, 2018
The boundary value problem for the system of linear nonhomogeneous differential equations with generalized coefficients is considered X(t) = L(t)X(t) + F(t), M1X(0) + M2X(b) = Q, where t ∈ T = [0, b], L : T → Rpxp and F : T → Rp are right-continuous ...
Sergey A. Spaskov, Anton K. Khmyzov
doaj  

Arterial Spin‐Labeling MRI at the Cortical‐CSF Interface: A Novel Biomarker in Alzheimer Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background/Objective Arterial spin‐labeling (ASL) MRI can measure perfusion signal adjacent to CSF spaces and may provide information regarding CSF‐adjacent water transport physiology. We developed an automated pipeline to extract cortical‐CSF interface (IF) perfusion for comparison between Alzheimer disease (AD) and cognitively normal ...
Mona Asghariahmadabad, Pouya Metanat, Michael Thomas, Luke W. Bonham, Tyson Lam, Mehmet Kurt, Hong Nguyen, Tara Ellingson, Mauro Zucchelli, Stefano Casagranda, Quin Lu, Andreas M. Rauschecker, Leo Sugrue, Luis E. Savastano, Christopher P. Hess, Kamalini Ranasinghe, S. Andrew Josephson, Bruce L. Miller, Jennifer S. Yokoyama, Gil D. Rabinovici, Peter A. Ljubenkov, Lawren VandeVrede, Kambiz Nael   +22 more
wiley   +1 more source

Safety and Efficacy of GLP‐1 Receptor Agonists in Adults With Epilepsy, Obesity, and Type 2 Diabetes

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Managing obesity in patients with epilepsy is complicated by the weight‐gaining properties of essential antiseizure medications (ASMs) such as valproate and pregabalin. We evaluated the safety and efficacy of initiating glucagon‐like peptide‐1 receptor agonists (GLP‐1 RAs) in this population.
Hyoshin Son, Inyoung Hwang, Sang Won Lee, Yun Kim   +3 more
wiley   +1 more source

White Matter and Perivascular Imaging Changes in Alzheimer's Disease and Cerebral Amyloid Angiopathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Peak‐width of skeletonized mean diffusivity (PSMD) and diffusion tensor imaging–analysis along the perivascular space (DTI‐ALPS), reflecting white matter integrity and glymphatic function, are altered in Alzheimer's disease (AD).
Debina Laishram, Guangwei Du, Sangam Kanekar, Nandakumar Nagaraja   +3 more
wiley   +1 more source

Inebilizumab in AQP4‐Seropositive NMOSD: One‐Year Follow‐Up From a Multicenter, Real‐World Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Real‐world evidence on inebilizumab among neuromyelitis optica spectrum disorder (NMOSD) patients is lacking. This study assessed inebilizumab among Chinese patients with aquaporin 4 autoantibody (AQP4‐IgG)‐seropositive NMOSD in a real‐world setting.
Mengcui Gui, Jiayang Zhan, Wei Li, Tao Jin, Dan He, Daishi Tian, Zhijun Li, Jing Lin, Yue Li, Hongyu Zhou, Bitao Bu   +10 more
wiley   +1 more source

Maximum number of limit cycles for generalized Li'enard differential equations

Electronic Journal of Differential Equations, 2013
Applying the averaging theory of first and second order to a class of generalized polynomial Lienard differential equations, we improve the known lower bounds for the maximum number of limit cycles that this class can exhibit.
Sabrina Badi, Amar Makhlouf
doaj  

Averaging generalized scalar field cosmologies IV: locally rotationally symmetric Bianchi V model

European Physical Journal C: Particles and Fields
This research focuses on scalar field cosmologies with a generalized harmonic potential. Our attention is centred on the anisotropic LRS Bianchi I and III metrics, Bianchi V metrics, and their isotropic limits.
Alfredo D. Millano, Genly Leon
doaj   +1 more source