Results 91 to 100 of about 225,971 (310)
A Variation-of-Constants Formula for Abstract Functional Differential Equations in the Phase Space
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Hino, Yoshiyuki +3 more
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Impact of Asymptomatic Intracranial Hemorrhage on Outcome After Endovascular Stroke Treatment
ABSTRACT Background Endovascular treatment (EVT) achieves high rates of recanalization in acute large‐vessel occlusion (LVO) stroke, but functional recovery remains heterogeneous. While symptomatic intracranial hemorrhage (sICH) has been well studied, the prognostic impact of asymptomatic intracranial hemorrhage (aICH) after EVT is less certain ...
Shihai Yang +22 more
wiley +1 more source
ABSTRACT Background Accessing brain magnetic resonance imaging (MRI) can be challenging, especially for underserved patients, which may lead to disparities in neurological diagnosis. Method This mixed‐methods study enrolled adults with one of four neurological disorders: mild cognitive impairment or dementia of the Alzheimer type, multiple sclerosis ...
Maya L. Mastick +19 more
wiley +1 more source
For abstract functional differential equations (FDE) and Volterra difference equations (VDE) in a Banach space, the local existence and smoothness of invariant manifolds, such as stable/unstable manifolds, center-stable/center-unstable manifolds and center manifolds, are established by means of the variation of constants formula in the phase space in ...
Satoru Murakami, Yutaka Nagabuchi
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Mixed Monotone Iterative Technique for Abstract Impulsive Evolution Equations in Banach Spaces
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 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
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We introduce a new notion called fractional stochastic nonlocal condition, and then we study approximate controllability of class of fractional stochastic nonlin- ear differential equations of Sobolev type in Hilbert spaces.
Mourad Kerboua, A. Debbouche, D. Baleanu
semanticscholar +1 more source
The authors deal with the abstract Cauchy problem \[ u^{(n)} (t)+ \sum^{n-1}_{k=0} A_ku^{(k)} (t)=0,\;t\geq 0,\;u^{(k)} (0)=u_k\;(0\leq k\leq n-1), \] where \(A_k\) are densely defined closed linear operators on a complex Hilbert space. Assuming that the problem is wellposed let \(S_0\), \(S_1, \dots, S_{n-1}\) be the mappings defined by \(S_k(t)x =u_k(
Jin, Liang, Tijun, Xiao
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Functional and Structural Evidence of Neurofluid Circuit Aberrations in Huntington Disease
ABSTRACT Objective Disrupted neurofluid regulation may contribute to neurodegeneration in Huntington disease (HD). Because neurofluid pathways influence waste clearance, inflammation, and the distribution of central nervous system (CNS)–delivered therapeutics, understanding their dysfunction is increasingly important as targeted treatments emerge.
Kilian Hett +8 more
wiley +1 more source
Direct and inverse problems for linear relations
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
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