Results 81 to 90 of about 4,901 (302)

Fractional Abstract Differential Equations and Applications

open access: yes, 2021
Boundary value problems for fractional elliptic equations with parameter in Banach spaces are studied. Uniform L-p-separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives. Particularly,
Shakhmurov, Veli
core   +1 more source

CSF Monoamine Metabolites and Cognitive Trajectory in Early Parkinson's Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Imaging and postmortem studies indicate that abnormalities in monoaminergic neurotransmission contribute to cognitive impairment in Parkinson's disease (PD). However, it remains uncertain if cerebrospinal fluid (CSF) monoamine metabolites can serve as biomarkers of cognitive decline in early PD.
Jing‐Yu Shao   +7 more
wiley   +1 more source

Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations

open access: yesAbstract 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

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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

Elevated Connectivity During Language Processing Is Associated With Cognitive Performance in SeLECTS

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Self‐Limited Epilepsy with Centrotemporal Spikes (SeLECTS) is associated with language impairments despite seizures originating in the motor cortex, suggesting aberrant cross‐network interactions. Here we tested whether functional connectivity in SeLECTS during language tasks predicts language performance.
Wendy Qi   +8 more
wiley   +1 more source

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

open access: yesJournal 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

open access: yesBoundary 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

open access: yesAdvances 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   +2 more
doaj   +1 more source

Monotone iterative method for abstract impulsive integro-differential equations with nonlocal conditions in Banach spaces [PDF]

open access: yes, 2001
summary:In this paper we use a monotone iterative technique in the presence of the lower and upper solutions to discuss the existence of mild solutions for a class of semilinear impulsive integro-differential evolution equations of Volterra type with ...
Li, Yongxiang   +3 more
core   +1 more source

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