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Items from 1 to 20 out of 279 results

article

Laminated Timoshenko beams with interfacial slip and infinite memories

Aissa Guesmia, Jaime E. Muñoz Rivera, Mauricio A. Sepúlveda Cortés, Octavio Vera Villagrán

Mathematical Methods in the Applied Sciences > 45 > 8 > 4408 - 4427

We study in this paper the well‐posedness and stability of three structures with interfacial slip and two infinite memories effective on the transverse displacement and the rotation angle. We consider a large class of kernels and prove that the system has a unique solution satisfying some regularity properties. Moreover, without restrictions on the values of the parameters, we show that the solution...

article

Reversible Regular Languages : Logical and Algebraic Characterisations

Paul Gastin, Amaldev Manuel, R. Govind

Fundamenta Informaticae > 2021 > Vol. 180, nr 4 > 333--350

We present first-order (FO) and monadic second-order (MSO) logics with predicates ‘between’ and ‘neighbour’ that characterise the class of regular languages that are closed under the reverse operation and its subclasses. The ternary between predicate bet(x, y, z) is true if the position y is strictly between the positions x and z. The binary neighbour predicate N(x, y) is true when the the positions...

article

Controllability of impulsive fractional functional evolution equations with infinite state‐dependent delay in Banach spaces

Djihad Aimene, Djamila Seba, Karima Laoubi

Mathematical Methods in the Applied Sciences > 44 > 10 > 7979 - 7994

Many evolutionary processes from various fields of physical and engineering sciences undergo abrupt changes of state at certain moments of time between intervals of continuous evolution. These processes are more suitably modeled by impulsive differential equations. In this paper, we study the controllability of an impulsive fractional differential equation with infinite state‐dependent delay in an...

article

Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems

Piotr Grabowski

International Journal of Applied Mathematics and Computer Science > 2021 > Vol. 31, no. 2 > 195--218

For general boundary control systems in factor form some necessary and sufficient conditions for generation of an analytic exponentially stable semigroup are proposed in both direct and perturbation forms for comparison. The direct approach is applicable to operators with the numerical range satisfying certain additional conditions. In particular, it applies to operators similar to convexoids and...

article

Fuzzy (m, n)-ideals in semigroups

Ahsan Mahboob, Bijan Davvaz, Noor Mohammad Khan

Computational and Applied Mathematics > 2019 > 38 > 4 > 1-18

In this paper, we introduce the concept of a fuzzy (m, n)-ideal, fuzzy (m, 0)-ideal and fuzzy (0, n)-ideal of a semigroup S for any positive integers m and n. This generalizes the concept of a fuzzy bi-ideal, fuzzy right ideal and fuzzy left ideal. After that, some properties of a fuzzy (m, n)-ideal, fuzzy (m, 0)-ideal and fuzzy (0, n)-ideal have been investigated. We also characterize different classes...

article

On (A, m)-Symmetric Operators in a Hilbert Space

N. Jeridi, R. Rabaoui

Results in Mathematics > 2019 > 74 > 3 > 1-33

For a positive $$A\in \mathcal {B}(\mathbb {H})$$ A∈B(H) , an operator $$T\in \mathcal {B}(\mathbb {H})$$ T∈B(H) is said to be (A, m)-symmetric if it satisfies the operator equation $$\displaystyle \sum \nolimits _{k=0}^{m}(-1)^{m-k} \;{m\atopwithdelims ()k}T^{*k}AT^{m-k}=0.$$ ∑k=0m(-1)m-kmkT∗kATm-k=0. This class of operators seems a natural generalization of m-symmetric operators on a Hilbert space...

article

Semigroups with finitely generated universal left congruence

Yang Dandan, Victoria Gould, Thomas Quinn-Gregson, Rida-E Zenab

Monatshefte für Mathematik > 2019 > 190 > 4 > 689-724

We consider semigroups such that the universal left congruence $$\omega ^{\ell }$$ ω ℓ is finitely generated. Certainly a left noetherian semigroup, that is, one in which all left congruences are finitely generated, satisfies our condition. In the case of a monoid the condition that $$\omega ^{\ell }$$ ω ℓ is finitely generated is equivalent to a number of pre-existing notions. In...

article

A Complete Spectral Analysis of Generalized Gribov–Intissar’s Operator in Bargmann Space

Abdelkader Intissar, Jean-Karim Intissar

Complex Analysis and Operator Theory > 2019 > 13 > 3 > 1481-1510

In the Bargmann representation, we study mathematically rigorously some interesting spectral properties of generalized Gribov–Intissar’s operator: $$\displaystyle { \mathbb {H}_{\lambda ', \mu , \lambda } = \lambda ' a^{*^{p+1}} a^{p+1}} {+ \mu a^{*^{p}}a^{p} + i\lambda a^{*^{p}}(a + a^{*})a^{p}\, (p = 0, 1, 2\ldots )}$$ H λ ′ , μ , λ = λ ′ a ∗ p + 1 a p + 1 + μ a ...

article

Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model

Lan Huang, Xin-Guang Yang, Yongjin Lu, Taige Wang

Zeitschrift für angewandte Mathematik und Physik > 2019 > 70 > 2 > 1-20

This paper considers the dynamical behavior of solutions of constitutive systems for 1D compressible viscous and heat-conducting micropolar fluids. With proper constraints on initial data, we prove the existence of global attractors in generalized Sobolev spaces $$H_{\delta }^{(1)}$$ Hδ(1) and $$H_{\delta }^{(2)}$$ Hδ(2) . These attractors are unique in corresponding phase spaces.

article

Hypergroup deformations of semigroups

Vishvesh Kumar, Kenneth A. Ross, Ajit Iqbal Singh

Semigroup Forum > 2019 > 99 > 1 > 169-195

We view the well-known example of the dual of a countable compact hypergroup, motivated by the orbit space of p-adic integers by Dunkl and Ramirez (Trans Am Math Soc 202:339–356, 1975), as hypergroup deformation of the max semigroup structure on the linearly ordered set $$\mathbb {Z}_+$$ Z + of the non-negative integers along the diagonal. This works as motivation for us to study hypergroups...

article

$$\aleph _0$$ ℵ 0 -categoricity of semigroups

Victoria Gould, Thomas Quinn-Gregson

Semigroup Forum > 2019 > 99 > 2 > 260-292

In this paper we initiate the study of $$\aleph _0$$ ℵ 0 -categorical semigroups, where a countable semigroup S is $$\aleph _0$$ ℵ 0 -categorical if, for any natural number n, the action of its group of automorphisms $${\text {Aut}}(S)$$ Aut ( S ) on $$S^n$$ S n has only finitely many orbits. We show that $$\aleph _0$$ ℵ 0 -categoricity transfers to certain important...

article

Periodicity of inhomogeneous trajectories and applications

Thieu Huy Nguyen, Thi Kim Oanh Tran

Journal of Mathematical Analysis and Applications > 2018 > 468 > 1 > 161-168

We prove the existence and uniqueness of periodic solutions to inhomogeneous linear evolution equations and then give applications to Stokes equations in the space of bounded functions and to the inhomogeneous trajectories corresponding to semigroups which admit Gaussian estimates.

article

Solvability of Elliptic Differential Equations, Set in Three Habitats with Skewness Boundary Conditions at the Interfaces

Rabah Labbas, Ahmed Medeghri, Abdallah Menad

Mediterranean Journal of Mathematics > 2018 > 15 > 3 > 1-23

In this work, we study an elliptic differential equation set in three habitats with skewness boundary conditions at the interfaces. It represents the linear stationary case of dispersal problems of population dynamics which incorporate responses at interfaces between the habitats. Existence, uniqueness and regularity of the solution of these problems are obtained in Hölder spaces under necessary and...

article

Weighted local Hardy spaces associated with operators

Ruming Gong, Liang Song, Peizhu Xie

Proceedings - Mathematical Sciences > 2018 > 128 > 2 > 1-20

Let L be a self-adjoint positive operator on $$L^2(\mathbb {R}^n)$$ L2(Rn) . Assume that the semigroup $$e^{-tL}$$ e-tL generated by $$-L$$ -L satisfies the Gaussian kernel bounds on $$L^2(\mathbb {R}^n)$$ L2(Rn) . In this article, we study weighted local Hardy space $$h_{L,w}^{1}(\mathbb {R}^n)$$ hL,w1(Rn) associated with L in terms of the area function characterization, and prove their atomic...

article

Remarks on the Operator-Norm Convergence of the Trotter Product Formula

Hagen Neidhardt, Artur Stephan, Valentin A. Zagrebnov

Integral Equations and Operator Theory > 2018 > 90 > 2 > 1-14

We revise the operator-norm convergence of the Trotter product formula for a pair $$\{A,B\}$$ {A,B} of generators of semigroups on a Banach space. Operator-norm convergence holds true if the dominating operator A generates a holomorphic contraction semigroup and B is a A-infinitesimally small generator of a contraction semigroup, in particular, if B is a bounded operator. Inspired by studies of evolution...

article

On the Hausdorff continuity of free Lèvy processes and free convolution semigroups

John D. Williams

Journal of Mathematical Analysis and Applications > 2018 > 459 > 1 > 604-613

Let μ denote a Borel probability measure and let {μt}t≥1 denote the free additive convolution semigroup of Nica and Speicher. We show that the support of these measures varies continuously in the Hausdorff metric for t>1. We utilize complex analytic methods and, in particular, a characterization of the absolutely continuous portion of these supports due to Huang.

article

Semigroups of sums of two operators with small commutators

Michael Gil’

Semigroup Forum > 2019 > 98 > 1 > 22-30

Let A be the generator of a $$C_0$$ C 0 -semigroup $$(e^{At})_{t\ge 0}$$ ( e At ) t ≥ 0 on a Banach space $$\mathcal {X}$$ X and B be a bounded operator in $$\mathcal {X}$$ X . Assuming that $$\int _{0}^{\infty } \Vert e^{At}\Vert \Vert e^{Bt}\Vert dt<\infty $$ ∫ 0 ∞ ‖ e At ‖ ‖ e Bt ‖ d t < ∞ and the commutator $$AB-BA$$...

article

Broken Symmetry Group in the Octahedral [Me(urea)₆]^{2+, 3+} Cation With Chelate Hydrogen Bonds

V. G. Rau, T. F. Rau, L. A. Lomtev, O. R. Nikitin

Journal of Structural Chemistry > 2018 > 59 > 1 > 120-125

The work reports the study of broken symmetry groups of non-classical substitutions in real heterocomplex compounds with carbamide found in the description of cations with directed hydrogen bonds. Examples of the respective groups of products of non-classical substitutions are considered for the model structures. In the computer experiment, the examination of tables of binary transformations with...

article

Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces

Anthony To-Ming Lau, Yong Zhang

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2018 > 17

article

Construction of idempotent 2-cocycles

Ch. Lamprakis, Th. Theohari-Apostolidi

Journal of Algebra > 2017 > 492 > C > 419-456

Let f:G×G⟶L be a weak 2-cocycle, where L/K is a finite Galois field extension with Galois group G, and Af=(L/K,f) be the associated weak crossed product K-algebra. We associate a partition of G to Af and construct idempotent 2-cocycles of Af.

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Laminated Timoshenko beams with interfacial slip and infinite memories

Reversible Regular Languages : Logical and Algebraic Characterisations

Controllability of impulsive fractional functional evolution equations with infinite state‐dependent delay in Banach spaces

Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems

Fuzzy (m, n)-ideals in semigroups

On (A, m)-Symmetric Operators in a Hilbert Space

Semigroups with finitely generated universal left congruence

A Complete Spectral Analysis of Generalized Gribov–Intissar’s Operator in Bargmann Space

Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model

Hypergroup deformations of semigroups

$$\aleph _0$$ ℵ 0 -categoricity of semigroups

Periodicity of inhomogeneous trajectories and applications

Solvability of Elliptic Differential Equations, Set in Three Habitats with Skewness Boundary Conditions at the Interfaces

Weighted local Hardy spaces associated with operators

Remarks on the Operator-Norm Convergence of the Trotter Product Formula

On the Hausdorff continuity of free Lèvy processes and free convolution semigroups

Semigroups of sums of two operators with small commutators

Broken Symmetry Group in the Octahedral [Me(urea)₆]^{2+, 3+} Cation With Chelate Hydrogen Bonds

Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces

Construction of idempotent 2-cocycles

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