Results 31 to 40 of about 1,488 (168)

Remarks on Various Measures of Noncompactness

Journal of Mathematical Analysis and Applications, 1993
Let \(\Omega\) be a bounded set in a metric space \(M\). Denote \(\alpha(\Omega)=\inf\{d>0:\Omega\text{ can be covered by a finite number of sets of diameter at most }d\},\) \(\beta(\Omega)=\inf\{d>0:\Omega\text{ has a finite } d\text{-net in }M\},\) \(\delta(\Omega)=\sup\{\alpha(\Omega'):\Omega'\subseteq\Omega\text{ and } \Omega'\text{ is an } \alpha ...
openaire   +2 more sources

Continuity of modulus of noncompact convexity for minimalizable measures of noncompactness

, 2015
We consider the modulus of noncompact convexity $ _{X, }(\varepsilon)$ associated with the minimalizable measure of noncompactness $ $. We present some properties of this modulus, while the main result of this paper is showing that $ _{X, }(\varepsilon)$ is a subhomogenous and continuous function on $[0, (\bar{B}_X))$ for an arbitrary ...
Rekić-Vuković, Amra, Okičić, Nermin, Pašić, Vedad, Arandjelović, Ivan   +3 more
openaire   +3 more sources

Alternative Approaches for Estimating Highest‐Density Regions

International Statistical Review, Volume 94, Issue 1, Page 97-120, April 2026.
Summary Among the variety of statistical intervals, highest‐density regions (HDRs) stand out for their ability to effectively summarise a distribution or sample, unveiling its distinctive and salient features. An HDR represents the minimum size set that satisfies a certain probability coverage, and current methods for their computation require ...
Nina Deliu, Brunero Liseo
wiley   +1 more source

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source

Periodic bifurcation from families of periodic solutions for semilinear differential equations with Lipschitzian perturbations in Banach spaces

, 2007
Let A:D(A)\to E be an infinitesimal generator either of an analytic compact semigroup or of a contractive C_0-semigroup of linear operators acting in a Banach space E.
Kamenskii, Mikhail, Makarenkov, Oleg, Nistri, Paolo   +2 more
core   +1 more source

Treg cells retain stable lineage commitment during pregnancy in mice after late gestation inflammatory challenge

Immunology &Cell Biology, Volume 104, Issue 3, Page 276-311, March 2026.
In this study, we used Foxp3‐fatemapping mice to examine the cell lineage stability of Treg cells in pregnancy. Ex‐Foxp3 cells were identified in gestational tissues. However, Treg cells retained lineage stability with no increased ex‐Foxp3 generation, regardless of inflammatory challenges that induce preterm birth.
Kerrie L Foyle, Ella S Green, Jessie R Walker‐Rogers, Ha M Tran, David M Olson, Lachlan M Moldenhauer, Sarah A Robertson   +6 more
wiley   +1 more source

Solutions of a quadratic Volterra–Stieltjes integral equation in the class of functions converging at infinity

Electronic Journal of Qualitative Theory of Differential Equations, 2018
The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces

Cubo, 2023
In this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction with the
Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra   +3 more
doaj   +1 more source

Connected components of the space of flags of SO0(p,q)$\operatorname{SO}_0(p,q)$ transverse to a fixed pair and restrictions on Anosov subgroups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley   +1 more source

Boundary Value Problems for Hybrid Caputo Fractional Differential Equations

Mathematics, 2019
In this paper, we discuss the existence of solutions for a hybrid boundary value problem of Caputo fractional differential equations. The main tool used in our study is associated with the technique of measures of noncompactness.
Zidane Baitiche, Kaddour Guerbati, Mouffak Benchohra, Yong Zhou   +3 more
doaj   +1 more source