Results 11 to 20 of about 187,605 (363)

Separating Polynomial $$\chi $$-Boundedness from $$\chi $$-Boundedness

open access: yesCombinatorica, 2023
AbstractExtending the idea from the recent paper by Carbonero, Hompe, Moore, and Spirkl, for every function $$f:\mathbb {N}\rightarrow \mathbb {N}\cup \{\infty \}$$ f : N → N ∪ {
Briański, Marcin   +2 more
openaire   +5 more sources

$R$ -Boundedness versus $\gamma$ -boundedness

open access: yesArkiv för Matematik, 2016
It is well-known that in Banach spaces with finite cotype, the $R$-bounded and $\gamma$-bounded families of operators coincide. If in addition $X$ is a Banach lattice, then these notions can be expressed as square function estimates. It is also clear that $R$-boundedness implies $\gamma$-boundedness.
Kwapień, Stanislaw   +2 more
openaire   +5 more sources

Local Boundedness and Harnack Inequality for Solutions of Linear Nonuniformly Elliptic Equations [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2019
We study local regularity properties for solutions of linear, nonuniformly elliptic equations. Assuming certain integrability conditions on the coefficient field, we prove local boundedness and Harnack inequality.
P. Bella, Mathias Schäffner
semanticscholar   +1 more source

Global classical solutions for a class of reaction-diffusion system with density-suppressed motility

open access: yesElectronic Research Archive, 2022
This paper is concerned with a class of reaction-diffusion system with density-suppressed motility $ \begin{equation*} \begin{cases} u_{t} = \Delta(\gamma(v) u)+\alpha u F(w), & x \in \Omega, \quad t>0, \\ v_{t} = D \Delta v+u-v, & x \in \
Wenbin Lyu, Zhi-An Wang
doaj   +1 more source

Growth conditions and regularity, an optimal local boundedness result [PDF]

open access: yesCommunications in Contemporary Mathematics, 2019
We prove local boundedness of local minimizers of scalar integral functionals [Formula: see text], [Formula: see text] where the integrand satisfies [Formula: see text]-growth of the form [Formula: see text] under the optimal relation [Formula: see text].
J. Hirsch, Mathias Schaffner
semanticscholar   +1 more source

Being wheelchair‐bound and being bedridden: Two concept analyses

open access: yesNursing Open, 2023
Aim Analysis of the concepts and development of a conceptual definition of being wheelchair‐bound and being bedridden. Design Concept analysis. Methods Walker and Avant´s concept analysis method was used.
Johannes Schirghuber, Berta Schrems
doaj   +1 more source

Influences of the Order of Derivative on the Dynamical Behavior of Fractional-Order Antisymmetric Lotka–Volterra Systems

open access: yesFractal and Fractional, 2023
This paper studies the dynamic behavior of a class of fractional-order antisymmetric Lotka–Volterra systems. The influences of the order of derivative on the boundedness and stability are characterized by analyzing the first-order and ...
Mengrui Xu
doaj   +1 more source

Dynamics of General Class of Difference Equations and Population Model with Two Age Classes

open access: yesMathematics, 2020
In this paper, we study the qualitative behavior of solutions for a general class of difference equations. The criteria of local and global stability, boundedness and periodicity character (with period 2 k ) of the solution are established ...
Osama Moaaz   +3 more
doaj   +1 more source

A Qualitative Investigation of the Solution of the Difference Equation $\Psi_{m+1}=\frac{\Psi_{m-3}\Psi_{m-5}}{\Psi_{m-1} \left( \pm1\pm \Psi_{m-3}\Psi_{m-5} \right) }$

open access: yesCommunications in Advanced Mathematical Sciences, 2023
We explore the dynamics of adhering to rational difference formula \begin{equation*} \Psi_{m+1}=\frac{\Psi_{m-3}\Psi_{m-5}}{\Psi_{m-1} \left( \pm1\pm \Psi_{m-3}\Psi_{m-5} \right) } \quad m \in \mathbb{N}_{0} \end{equation*} where the initials $\Psi_{-5}$
Ibrahim Tarek Fawzi Abdelhamid   +2 more
doaj   +1 more source

A note on the boundedness of sublinear operators on grand variable Herz spaces

open access: yes, 2020
In this paper, we introduce grand variable Herz type spaces using discrete grand spaces and prove the boundedness of sublinear operators on these spaces.
Hammad Nafis, H. Rafeiro, M. A. Zaighum
semanticscholar   +1 more source

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