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PROPERTIES AND APPLICATIONS OF THE COMPOSITION OPERATOR BETWEEN CERTAIN FUNCTION SPACES. [PDF]
In this study, we aim to investigate the boundedness and compactness of the composition operator $C_\Theta$, and to provide characterizations of its boundedness and compactness.We introduce necessary conditions and sufficient conditions for the operator $
Samy A. Abd-Elhafeez, A. Kamal, M. Eissa
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$R$ -Boundedness versus $\gamma$ -boundedness
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
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Dynamical behaviors of a k-order fuzzy difference equation
Difference equations are often used to create discrete mathematical models. In this paper, we mainly study the dynamical behaviors of positive solutions of a nonlinear fuzzy difference equation: xn+1=xnA+Bxn−k(n=0,1,2,…),{x}_{n+1}=\frac{{x}_{n}}{A+B{x}_ ...
Han Caihong +3 more
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Separating Polynomial $$\chi $$-Boundedness from $$\chi $$-Boundedness
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
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AbstractIf a graph has bounded clique number and sufficiently large chromatic number, what can we say about its induced subgraphs? András Gyárfás made a number of challenging conjectures about this in the early 1980s, which have remained open until recently; but in the last few years there has been substantial progress. This is a survey of where we are
Alex Scott 0001, Paul D. Seymour
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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
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Being wheelchair‐bound and being bedridden: Two concept analyses
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
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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
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Dynamics of General Class of Difference Equations and Population Model with Two Age Classes
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
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In this paper, we investigate the boundedness and uniformly asymptotically stability of the solutions to a certain third order non-autonomous differential equations with bounded delay.
Abdulhamit Özdemir, Erdal Korkmaz
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