Results 51 to 60 of about 173,323,789 (179)

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

A new approach to infinite systems of integral equations in Fréchet function spaces

Advances in Nonlinear Analysis
This paper proposes a more effective method for investigating the solvability of infinite systems of nonlinear integral equations than the approaches based on Banach spaces, which have been employed in a series of publications over the past several years.
Dudek Szymon, Olszowy Leszek
doaj   +1 more source

Existence of Weak Solutions for Nonlinear Fractional Differential Inclusion with Nonseparated Boundary Conditions

Journal of Applied Mathematics, 2012
We discuss the existence of solutions, under the Pettis integrability assumption, for a class of boundary value problems for fractional differential inclusions involving nonlinear nonseparated boundary conditions.
Wen-Xue Zhou, Hai-Zhong Liu
doaj   +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

Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators [PDF]

Sahand Communications in Mathematical Analysis
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, Abderrazak Kassidi, Ali El Mfadel, Elomari M'hamed   +3 more
doaj   +1 more source

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

Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix [PDF]

, 2013
The sequence spaces c(0)(B), l(infinity)(B) have recently been introduced by Somez (Comput. Math. Appl. 62: 641-650, 2011). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of ...
Ali Karaisa, Karaisa, Ali
core   +1 more source

Semigroups of operators and measures of noncompactness

Journal of Functional Analysis, 1971
AbstractIt is observed that the perturbation class of an open semigroup in a Banach algebra is a closed two-sided ideal. Certain seminorms on the algebra of bounded operators are introduced; these seminorms induce norms on the quotient algebra modulo the ideal of compact operators.
Lebow, Arnold, Schechter, Martin
openaire   +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

Measures of noncompactness in a Banach algebra and their applications [PDF]

, 2017
In this paper we study the existence of solutions of a nonlinear quadratic integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on the real half axis. Additionally, using
Dudek, S.
core   +1 more source