Results 51 to 60 of about 1,488 (168)
TDP‐43Q331K mice exhibit altered proliferative dynamics in oligodendrocytes and their precursors. Oligodendroglial cell death is evident in TDP‐43Q331K mice. TDP‐43Q331K mice display altered myelin reflectance and pathology in the spinal cord. ABSTRACT Amyotrophic Lateral Sclerosis (ALS) is a fatal neurodegenerative disease characterized by the ...
Katherine N. Lewis +8 more
wiley +1 more source
On a unified study of relative Chebyshev radii and Hausdorff measures of noncompactness [PDF]
The paper is concerned with the notion of the Lifschitz modulus and its relationship with both relative Chebyshev radii and Hausdorff measures of noncompactness.Junta de AndalucíaState Committee for Scientific Research of ...
Espínola García, Rafael +2 more
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Caught Between the Brain and a Hard Place: A Case of a Cervicomedullary AVM
Posterior fossa arteriovenous malformations (AVMs) are uncommon lesions that carry significant risk due to their proximity to the brainstem. We present the case of an 18‐year‐old female who suffered a sudden severe headache and was found to have a subarachnoid haemorrhage caused by a cervicomedullary junction AVM of the juvenile Type IIa subtype ...
A. Rumhumha +6 more
wiley +1 more source
Radon–Nikodým indexes and measures of weak noncompactness
The authors introduce and study certain indices related to the Radon-Nikodým property in Banach spaces. Interesting quantitative versions of classic results in RNP are proved. Let \(E\) be a Banach space and \((\Omega,\Sigma,\mu)\) a complete probability space.
B. Cascales, A. Pérez, M. Raja
openaire +2 more sources
Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function
Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan +5 more
wiley +1 more source
Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators [PDF]
This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space.
Walid Benhadda +3 more
doaj +1 more source
Barycenters of measures on certain noncompact convex sets [PDF]
Each norm closed and bounded convex subset K of a separable dual Banach space is, according to a theorem of Bessaga and Pelczynski, the norm closed convex hull of its extreme points. It is natural to expect that this theorem may be reformulated as an integral representation theorem, and in this connection we have examined the extent to which the ...
openaire +2 more sources
On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type
In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed +3 more
wiley +1 more source
The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions.
Dehici Abdelkader +3 more
doaj
Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation [PDF]
Mathematics Subject Classification: 45G10, 45M99, 47H09We study the solvability of a perturbed quadratic integral equation of fractional order with linear modification of the argument.
Darwish, Mohamed, Henderson, Johnny
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