Results 81 to 90 of about 115,527,476 (289)

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

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

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

Completely integrable differential equations in abstract spaces [PDF]

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

Thalamo‐Lesional Connectivity Signatures of Bilateral Tonic–Clonic Seizures in Focal Cortical Dysplasia‐Related Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Focal cortical dysplasia (FCD) is the most common etiology of drug‐resistant epilepsy in children. Focal to bilateral tonic–clonic seizures (FBTCS) mark a high risk of drug‐resistant epilepsy and involve thalamocortical circuitry in their generation and propagation.
Hua Xie, Xiaotong Li, Venkata Sita Priyanka Illapani, Leigh N. Sepeta, Jason Schroeder, Chima O. Oluigbo, Madison M. Berl, William D. Gaillard, Nathan T. Cohen   +8 more
wiley   +1 more source

Direct and inverse problems for linear relations

Bruno Pini Mathematical Analysis Seminar, 2013
Direct and inverse problem related to linear differential inclusions in Banach spaces are studied.The abstract results are applied to degenerate partial dierential equations of parabolic type.
Angelo Favini
doaj  

Existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces

Advances in Difference Equations, 2018
In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone ...
Peiguo Zhang, Xinan Hao
doaj   +1 more source

Neurologic Manifestations of Long COVID Affect Adult Females More Severely Than Males

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To characterize differences in neurologic manifestations of postacute sequelae of SARS‐CoV‐2 infection (Neuro‐PASC) between females and males. Methods Cross‐sectional study of the first consecutive 261 posthospitalization Neuro‐PASC (PNP) and 2068 nonhospitalized Neuro‐PASC (NNP) patients evaluated at the Neuro‐COVID clinic between ...
Hannah Kopinsky, Melissa Lopez, Janet Miller, Millenia Jimenez, Eric M. Liotta, Igor J. Koralnik   +5 more
wiley   +1 more source

Volterra difference equations on a Banach space and abstract differential equations with piecewise continuous delays

Japanese journal of mathematics. New series, 2004
The Volterra difference equation on a Banach space \(X,\) \[ x\left( n+1\right) =\sum_{j=-\infty }^{n}Q\left( n-j\right) x\left( j\right) ,\quad n\in \mathbb{Z}^{+}=\{0,1,2,\dots\} \] is treated, where \(Q(n) \) are bounded linear operators on \(X\) such that \(\sum_{n=0}^{\infty }\|Q(n)\|e^{\gamma n}
FURUMOCHI, Tetsuo, MURAKAMI, Satoru, NAGABUCHI, Yutaka   +2 more
openaire   +3 more sources

Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias, Federica Avantaggiato, Gianni Pezzoli, Andrea Canessa   +3 more
wiley   +1 more source