Results 61 to 70 of about 1,515 (263)

Some optimal control problems of heat equations with weighted controls

Boundary Value Problems, 2017
In this paper, the time and norm optimal control problems of controlled heat equations with a weight function are considered. For the time optimal problems, we study the following two cases: one is for equations with multi-domain control under null ...
Shufang Liu, Dandan Liu, Guoqi Wang
doaj   +1 more source

Risk of Non‐Arteritic Anterior Ischemic Optic Neuropathy in Idiopathic Intracranial Hypertension Patients Treated with GLP‐1 Receptor Agonists

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Introduction Glucagon‐like peptide‐1 receptor agonists (GLP‐1 RAs) have demonstrated significant weight‐reducing effects and may offer benefits in idiopathic intracranial hypertension (IIH); however, recent concerns about the risk of non‐arteritic anterior ischemic optic neuropathy (NAION) have emerged.
Faisal A. Al‐Harbi, Mohanad A. Alkuwaiti, Yazeed B. Alaql, Ahmed K. Alsaif, Ahmed A. Alessa, Meshari Ayed Alharbi, Mohammed Alfalah, Saud A. Alnaaim, Sajjad M. AlHaddad, Ahmed Y. Azzam   +9 more
wiley   +1 more source

Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays

Axioms, 2019
Two types of singularly-perturbed nonlinear time delay controlled systems are considered. For these systems, sufficient conditions of the functional null controllability are derived.
Valery Y. Glizer
doaj   +1 more source

Controllability of conformable differential systems

Nonlinear Analysis, 2020
This paper deals with complete controllability of systems governed by linear and semilinear conformable differential equations. By establishing conformable Gram criterion and rank criterion, we give sufficient and necessary conditions to examine that a ...
Xiaowen Wang, JinRong Wang, Michal Fečkan   +2 more
doaj   +1 more source

Long‐Term Efficacy of Immunotherapy in Autoimmune Autonomic Ganglionopathy—A 10‐Year Follow Up Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Autoimmune autonomic ganglionopathy (AAG) is a rare but potentially treatable cause of severe autonomic failure. Evidence guiding long‐term immunotherapy, treatment sequencing, and residual autonomic impairment is limited. We evaluated long‐term treatment response, residual autonomic dysfunction, and relapse patterns in patients with
Giacomo Chiaro, Shiwen Koay, Gordon T. Ingle, Patricia McNamara, Laura Watson, Fion Bremner, Valeria Iodice   +6 more
wiley   +1 more source

On the exact controllability of a nonlinear stochastic heat equation

Abstract and Applied Analysis, 2006
The exact controllability of a nonlinear stochastic heat equation with null Dirichlet boundary conditions, nonzero initial and target values, and an interior control is established.
Bui An Ton
doaj   +2 more sources

Null controllability of semilinear degenerate parabolic equations in bounded domains

Electronic Journal of Differential Equations, 2006
In this paper we study controllability properties for semilinear degenerate parabolic equations with nonlinearities involving the first derivative in a bounded domain of R. Due to degeneracy, classical null controllability results do not hold in general.
Piermarco Cannarsa, Genni Fragnelli
doaj  

Exact Null Controllability of String Equations with Neumann Boundaries

Journal of Mathematics
This article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the
Lizhi Cui, Jing Lu
doaj   +1 more source

Upper Cervical Cord Area as a Biomarker of Conversion to Secondary Progressive Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective This study assessed whether upper cervical cord area (UCCA) measured on routine brain MRI can serve as a biomarker of conversion to SPMS. Methods This is a single‐center retrospective cohort study of RRMS patients with cross‐sectional and longitudinal analyses of clinical and MRI data. Future SPMS converters were matched by age, sex,
Nabil K. El Ayoubi, Sola Al Ghazal, Salem Hannoun, Medhat A. Siddik, Nour M. Najjar, Jim Dagher, Joseph Abboud, Myriam G. Semaan, Samia J. Khoury   +8 more
wiley   +1 more source

Null controllability of a nonlinear heat equation

Abstract and Applied Analysis, 2002
We study the internal exact null controllability of a nonlinear heat equation with homogeneous Dirichlet boundary condition. The method used combines the Kakutani fixed-point theorem and the Carleman estimates for the backward adjoint linearized system ...
G. Aniculăesei, S. Aniţa
doaj   +1 more source