Results 81 to 90 of about 119,366,956 (291)

Singular regularization of operator equations in L1 spaces via fractional differential equations [PDF]

, 2016
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Purnaras, Ioannis, Karakostas, George
core   +1 more source

Neurochemical Endpoints to Inform Early‐Stage Trials of Spinocerebellar Ataxia 2 and 3 in a Multisite Setting

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Neurochemical levels measured by brain MR spectroscopy (MRS) have been proposed as endpoints for clinical trials in early‐stage spinocerebellar ataxia (SCA) trials. We tested their trial‐readiness by quantifying neurochemicals in three affected brain regions in early‐stage cohorts of SCA2 and SCA3, examining their reproducibility in ...
James M. Joers, Yaqiao Wei, Dinesh K. Deelchand, Adam Berrington, Young Woo Park, Guita Banan, Michal Povazan, Jens T. Rosenberg, André J. W. van der Kouwe, Tetsuo Ashizawa, Khalaf O. Bushara, Chiadi U. Onyike, Sub H. Subramony, Jeremy D. Schmahmann, Brian J. Soher, Peter B. Barker, Thomas H. Mareci, Eva‐Maria Ratai, Lynn E. Eberly, Gülin Öz   +19 more
wiley   +1 more source

Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations

Abstract and Applied Analysis, 2013
This paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear nonautonomous functional integrodifferential stochastic evolution equations in real separable Hilbert spaces.
Li Xi-liang, Han Yu-liang
doaj   +1 more source

T1 Over Squared Proton Density Ratio to Characterize Multiple Sclerosis Lesions

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Differentiating remyelinated from demyelinated lesions in MS remains challenging without histological confirmation. This study introduces the T1‐to‐PD2 ratio (TPR) imaging approach and evaluates its ability to characterize MS lesions alongside other quantitative MRI (qMRI) metrics. Methods Thirty individuals with MS (mean age: 47.5 ± 
Sarah J. Wright, Scotty G. McKay, Jean Ramos Bou, Fen Bao, Vivian B. Truong, Chenyang Li, Li Jiang, Anza B. Memon, E. Mark Haacke, Yulin Ge, Yongsheng Chen   +10 more
wiley   +1 more source

Mixed Monotone Iterative Technique for Abstract Impulsive Evolution Equations in Banach Spaces

Journal of Inequalities and Applications, 2010
By constructing a mixed monotone iterative technique under a new concept of upper and lower solutions, some existence theorems of mild -periodic ( -quasi) solutions for abstract impulsive evolution equations are obtained in ordered Banach spaces. These
Yang He
doaj  

The role of fixed points and noncompactness measures in analyzing fractional integral equations

Boundary Value Problems
In this manuscript, a fixed-point method is developed to address challenging classes of equations. The main contribution lies in the construction of a generalized contraction operator, which serves as the foundation for extending Darbo’s fixed-point ...
Hasanen A. Hammad, Doha A. Kattan
doaj   +1 more source

A Study of Controllability of Impulsive Neutral Evolution Integro-Differential Equations with State-Dependent Delay in Banach Spaces

Mathematics, 2016
In this paper, we study the problem of controllability of impulsive neutral evolution integro-differential equations with state-dependent delay in Banach spaces.
Dimplekumar Chalishajar, Annamalai Anguraj, Kandasamy Malar, Kulandhivel Karthikeyan   +3 more
doaj   +1 more source

Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions

Annals of Clinical and Translational Neurology, EarlyView.
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, Valentina Giunchiglia, Michael C. B. David, Magdalena A. Kolanko, William R. Trender, Peter J. Hellyer, Harmeena Kaur, David J. Sharp, Christopher Carswell, Paresh A. Malhotra, Adam Hampshire   +10 more
wiley   +1 more source

On new evolution of Ri’s result via w-distances and the study on the solution for nonlinear integral equations and fractional differential equations

Advances in Difference Equations, 2018
The aim of this work is to establish a new fixed point theorem for generalized contraction mappings with respect to w-distances in complete metric spaces. An illustrative example is provided to advocate the usability of our results.
Hassen Aydi, Teerawat Wongyat, Wutiphol Sintunavarat   +2 more
doaj   +1 more source

Completely integrable differential equations in abstract spaces [PDF]

Acta Mathematica, 1935
Michal, A. D., Elconin, V.
openaire   +5 more sources