Results 61 to 70 of about 175,704,569 (186)

Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces

Journal of Inequalities and Applications, 2016
In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi, Mohammad Mursaleen, Syed Abdul Mohiuddine   +2 more
doaj   +1 more source

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, Volume 299, Issue 10, Page 3015-3035, October 2026.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

Myelination and Remyelination in Peripheral Nerve Injury: Mechanisms, Regulation, and Therapeutic Perspectives

MedComm, Volume 7, Issue 10, October 2026.
Peripheral nerve injury triggers axonal degeneration, myelin breakdown, and Schwann cell reprogramming. Remyelination requires reactivation of the SOX10–OCT6–KROX20/EGR2 transcriptional hierarchy, axonal NRG1–ErbB2/3 signaling, metabolic support, and coordinated immune regulation.
Li‐Xin Huang, Tao Sun, Yi‐Bo Zhao, Zhi‐Min Wu, Jun Sun, Ming‐Yang Li, Qing‐Yi Huo, Yun‐Mou Ou, Qing‐Tian Liang, Cong Ling, Bao‐Yu Zhang, Chuan Chen, Ying Guo, Hui Wang   +13 more
wiley   +1 more source

Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]

, 2006
2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips.
da Silva, Eduardo Brandani, Fernanadez, Dicesar L.   +1 more
core  

Elucidating the Stem of Crassulaceae: A Structural Chemical‐Anatomical Analysis

Plant Direct, Volume 10, Issue 10, October 2026.
ABSTRACT Crassulaceae comprises succulent species characterized by extensive water‐storage tissues and considerable anatomical diversity, yet comparative information on the chemical composition and structural organization of their stem cell walls remains limited. This study characterized stem cell‐wall composition and anatomy in 33 Crassulaceae species
Agustín Maceda, A. Rosa Andrés‐Hernández, Jerónimo Reyes‐Santiago, Marcos Soto‐Hernández, Teresa Terrazas   +4 more
wiley   +1 more source

Strain‐Dependent Evolution of Fatigue and Oxidation Damage in a Nickel‐Based Single‐Crystal Superalloy: The Dominant Mechanism Under Low‐Cycle and Thermomechanical Fatigue

Rare Metals, Volume 45, Issue 10, October 2026.
ABSTRACT Systematic studies on the fatigue deformation and damage mechanisms of nickel‐based single‐crystal superalloys (Ni‐SXs) under combined thermal and mechanical conditions remain limited, particularly regarding the influence of strain amplitude on the relative contributions of fatigue and oxidation damage.
Liyin Zhang, Xiaoqing Liang, Xiaofeng Dang, Zhenyang Cao, Hao Su, Sihai Luo, Luqing Cui, Weifeng He   +7 more
wiley   +1 more source

Positive Solutions for the Initial Value Problems of Fractional Evolution Equation

Journal of Function Spaces and Applications, 2013
This paper discusses the existence of positive solutions for the initial value problem of fractional evolution equation with noncompact semigroup , ; in a Banach space , where denotes the Caputo fractional derivative of order , is a closed linear ...
Yue Liang, Yu Ma, Xiaoyan Gao
doaj   +1 more source

Measures of noncompactness on the standard hilbert C*-module

Filomat, 2019
We define a measure of noncompactness ? on the standard Hilbert C*-module l2(A) over a unital C*-algebra, such that ?(E) = 0 if and only if E is A-precompact (i.e. it is ?-close to a finitely generated projective submodule for any ? > 0) and derive its properties.
Dragoljub Keckic, Zlatko Lazovic
openaire   +4 more sources

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

L∞$L^\infty$ compactness of solutions of quasilinear problems and applications

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract For a (not necessarily smooth) bounded domain Ω$\Omega$ of RN$\mathbb {R}^N$, N⩾2$N \geqslant 2$ and a Carathéodory vector‐valued function a:Ω×RN→RN$a:\Omega \times \mathbb {R}^N \rightarrow \mathbb {R}^N$, we study the compactness of the inverse of the Leray–Lions operator A(u)=−div(a(x,∇u))$A(u)=-\text{div}(a(x, \nabla u))$, u∈W01,p(Ω)$u\in ...
D. Arcoya, M. C. M. Rezende, E. A. B. Silva   +2 more
wiley   +1 more source