Results 61 to 70 of about 12,547 (197)

Sine Subtraction Laws on Semigroups

Annales Mathematicae Silesianae, 2023
We consider two variants of the sine subtraction law on a semi-group S. The main objective is to solve f(xy∗ ) = f(x)g(y) − g(x)f(y) for unknown functions f, g : S → ℂ, where x ↦ x* is an anti-homomorphic involution.
Ebanks Bruce
doaj   +1 more source

Abstract Boundary Delay Systems and Application to Network Flow

Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 119-129, 15 January 2026.
ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi   +2 more
wiley   +1 more source

The α-bicyclic semigroup as a topological semigroup

Semigroup Forum, 1984
C. Eberhart and J. Selden showed that the only Hausdorff topology on the bicyclic semigroup which makes it a topological semigroup is the discrete topology. A related result proved in this paper is the following: Let \(W_{\alpha}\) be the \(\alpha\)-bisimple semigroup. The only locally compact Hausdorff semigroup topology on \(W_{\alpha}\) is discrete.
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Invariance entropy for topological semigroup actions [PDF]

Proceedings of the American Mathematical Society, 2013
Invariance entropy for the action of topological semigroups acting on metric spaces is introduced. It is shown that invariance entropy is invariant under conjugations and a lower bound and upper bounds of invariance entropy are obtained. The special case of control systems is discussed.
Colonius, Fritz, Fukuoka, Ryuichi, Santana, Alexandre J.   +2 more
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Existence and Uniqueness of Nonlinear Volterra Integral Equations With Variable Fractional Order in Fréchet Spaces via a Frigon−Granas Fixed Point Approach

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper investigates the existence and uniqueness of solutions to nonlinear Volterra integral equations of variable fractional order in Fréchet spaces. The variable‐order fractional derivative is considered in the Riemann–Liouville sense, which extends classical approaches and is central to the paper’s novelty.
Mohamed Telli, Benoumran Telli, Mohammed Said Souid, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Khalil Ezzinbi   +5 more
wiley   +1 more source

The hull-kernel topology on prime ideals in ordered semigroups

Open Mathematics
The aim of this study is to develop the theory of prime ideals in ordered semigroups. First, to ensure the existence of prime ideals, we study a class of ordered semigroups which will be denoted by SIP{{\mathbb{S}}}_{IP}.
Wu Huanrong, Zhang Huarong
doaj   +1 more source

Topological properties of C0 $C^{0}$-solution set for impulsive evolution inclusions

Boundary Value Problems, 2018
In this paper, we study the topological properties to a C0 $C^{0}$-solution set of impulsive evolution inclusions. The definition of C0 $C^{0}$-solutions for impulsive functional evolution inclusions is introduced.
Lu Zhang, Yong Zhou, Bashir Ahmad
doaj   +1 more source

Analysis of the Wiener Index of Rough Annihilator Graph Over Rough Semirings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
An effective analytical and visual tool for comprehending the annihilator relationships inside a rough semiring is its annihilator graph. This paper introduces and investigates rough annihilator graph, denoted RAG(T), of the commutative rough semiring T.
Sudha B., Praba B., Pramita Mishra
wiley   +1 more source

Metric Semigroups and Groups of Multisets

Researches in Mathematics
We investigate the algebraic and topological properties of sets of complex multisets associated with Banach spaces having symmetric bases. We consider algebraic structures on the sets of multisets and compare some natural metrics on the (semi)groups of ...
D.Y. Dolishniak, A.V. Zagorodnyuk
doaj   +1 more source

On L-Fuzzy Topological Semigroups

Journal of Mathematical Analysis and Applications, 1993
With \(L\) as a complete Heyting algebra, \(\mu: X\to L\) an \(L\)-fuzzy subset of \(X\), the author has defined \(L\)-fuzzy topological space \((X,\mu,F)\) where \(F\subset L^ x\) satisfies some given conditions; he has defined the category FTOP by the collection of all \(L\)-fuzzy topological spaces with suitably defined morphisms. In a category \(C\)
openaire   +2 more sources