Results 91 to 100 of about 382,588 (274)
On some local topological semigroups [PDF]
The local associativity of \((x,y)\mapsto xf(y)+yf(x)\) leads to the problem of determining all continuous solutions \(f: I\to\mathbb{R}\) of the functional equation \[ f(xf(y)+yf(x))=f(x)f(y)+cxy \qquad (x,y\in I),\tag{*} \] where \(I\) is a real interval containing 0.
openaire +2 more sources
Badly approximable grids and k$k$‐divergent lattices
Abstract Let A∈Matm×n(R)$A\in \operatorname{Mat}_{m\times n}(\mathbb {R})$ be a matrix. In this paper, we investigate the set BadA⊂Tm$\operatorname{Bad}_A\subset \mathbb {T}^m$ of badly approximable targets for A$A$, where Tm$\mathbb {T}^m$ is the m$m$‐torus. It is well known that BadA$\operatorname{Bad}_A$ is a winning set for Schmidt's game and hence
Nikolay Moshchevitin+2 more
wiley +1 more source
Semigroup Actions on Intuitionistic Fuzzy Metric Spaces
This paper investigates the dynamical systems in the context of topological semigroup actions on intuitionistic fuzzy metric spaces. We give some concepts such as topological transitivity, point transitivity, and densely point transitivity for such ...
Yaoyao Lan, Qingguo Li
doaj +1 more source
Abstract A no‐flux initial‐boundary value problem for εuεt=Δ(uεvε−α),vεt=Δvε−vε+uε(★)$$\begin{equation*} \hspace*{92pt} \def\eqcellsep{&}\begin{array}{cc} \left\{ \def\eqcellsep{&}\begin{array}{ll} \varepsilon {u}_{\varepsilon t}& =\Delta ({u}_{\varepsilon}{v}_{\varepsilon}^{-\alpha}),\\ {v}_{\varepsilon t}& =\Delta{v}_{\varepsilon}-{v}_{\varepsilon ...
Yulan Wang, Michael Winkler
wiley +1 more source
C0-continuity of the Fröbenius-Perron semigroup
We consider the Fröbenius-Perron semigroup of linear operators associated to a semidynamical system defined in a topological space X endowed with a finite or a σ-finite regular measure.
Andrés Navas, Sergio Plaza
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We consider the hyperbolic relaxation of the viscous Cahn–Hilliard equation with a symport term. This equation is characterized by the presence of the additional inertial term τDϕtt$$ {\tau}_D{\phi}_{tt} $$ that accounts for the relaxation of the diffusion flux.
Dieunel Dor+2 more
wiley +1 more source
THE ANALOGUE OF WEIGHTED GROUP ALGEBRA FOR SEMITOPOLOGICAL SEMIGROUPS [PDF]
In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological ...
doaj
On continuity of homomorphisms between topological Clifford semigroups
Generalizing an old result of Bowman we prove that a homomorphism $f:X\to Y$ between topological Clifford semigroups is continuous if • the idempotent band $E_X=\{x\in X:xx=x\}$ of $X$ is a $V$-semilattice; • the topological Clifford semigroup
I. Pastukhova
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On dense, locally finite subgroups of the automorphism group of certain homogeneous structures
Abstract Let A$\mathcal {A}$ be a countable structure such that each finite partial isomorphism of it can be extended to an automorphism. Evans asked if the age (set of finite substructures) of A$\mathcal {A}$ satisfies Hrushovski's extension property, then is it true that the automorphism group Aut(A)$\operatorname{{\it Aut}}(\mathcal {A})$ of A ...
Gábor Sági
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