Results 41 to 50 of about 29,782 (219)
Semigroups of Right Quotients of Topological Semigroups [PDF]
Introduction. Let S= (S, -) be a semigroup and T= QT(S, E) a semigroup of right quotients of S with respect to a subsemigroup E of S (cf. ?2). Suppose that S is equipped with a topology S which makes (S, ., C) into a topological semigroup. The purpose of this paper is to investigate topologies Z on T with the properties that (T, *, Z) is a topological ...
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ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Planarity ranks for varieties of equationally noetherian semigroups [PDF]
The problem of describing semigroup varieties with finite planarity rank is researched. In addition to the previously obtained results the author finds new countable infinite series of semigroup varieties with finite planarity rank.
Solomatin, Denis Vladimirovich
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ABSTRACT The paper proposes a variational analysis of the 1‐hypergeometric stochastic volatility model for pricing European options. The methodology involves the derivation of estimates of the weak solution in a weighted Sobolev space. The weight is closely related to the stochastic volatility dynamic of the model.
José Da Fonseca, Wenjun Zhang
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Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are
Henry E. Heatherly, Ralph P. Tucci
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Abstract Boundary Delay Systems and Application to Network Flow
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 +2 more
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The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups [PDF]
We introduce the notion of hypergroupoids (HBin(X), □), and show that (HBin(X), □) is a super‐semigroup of the semigroup (Bin(X), □) via the identification x↔{x}. We prove that (HBin*(X), ⊖, [∅]) is a BCK‐algebra, and obtain several properties of (HBin*(X), □).
Han, Jeong Soon +2 more
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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
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Optimal adaptive reinforcement learning control using an actor‐critic architecture. The controller learns optimal control policies online from data measured along the trajectories of a plug flow system ABSTRACT This article is devoted to optimal adaptive control for a distributed parameter convection‐reaction system by reinforcement learning (RL ...
Abdellaziz Binid, Ilyasse Aksikas
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Vector-valued means and weakly almost periodic functions
A formula is set up between vector-valued mean and scalar-valued means that enables us translate many important results about scalar-valued means developed in [1] to vector-valued means.
Chuanyi Zhang
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