Results 71 to 80 of about 3,180,013 (158)

Cayley automaton semigroups [PDF]

, 2015
Let S be a semigroup, C(S) the automaton constructed from the right Cayley graph of S with respect to all of S as the generating set and ∑(C(S)) the automaton semigroup constructed from C(S). Such semigroups are termed Cayley automaton semigroups. For
McLeman, Alexander Lewis Andrew
core   +2 more sources

Approximate Controllability of Semilinear Impulsive Evolution Equations

Abstract and Applied Analysis, 2015
We prove the approximate controllability of the following semilinear impulsive evolution equation: z'=Az+Bu(t)+F(t,z,u), z∈Z, t∈(0,τ], z(0)=z0, z(tk+)=z(tk-)+Ik(tk,z(tk),u(tk)), k=1,2,3,…,p, where ...
Hugo Leiva
doaj   +1 more source

Semigroups and Evolution Equations in Modular Function Spaces

Axioms
This paper develops the theory of strongly continuous semigroups and abstract evolution equations in modular function spaces. We study the autonomous problem u˙(t)=Bu(t) with initial condition u(0)=u0∈Lρ, where B is the infinitesimal generator of a ...
Mostafa Bachar
doaj   +1 more source

On the Evolution Operators of a Class of Linear Time-Delay Systems

Mathematics
This paper studies the properties of the evolution operators of a class of time-delay systems with linear delayed dynamics. The considered delayed dynamics may, in general, be time-varying and associated with a finite set of finite constant point delays.
Manuel De la Sen
doaj   +1 more source

A multi-model approach to Saint-Venant equations: A stability study by LMIs

International Journal of Applied Mathematics and Computer Science, 2012
This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set ...
Dos Santos Martins Valérie, Rodrigues Mickael, Diagne Mamadou   +2 more
doaj   +1 more source

A Caputo-Type Fractional Derivative of a Function with Respect to Power Functions and Solutions to Non-Local Problems of Fractional Differential Equations

Mathematics
This paper investigates the uniform continuity and strong continuity of the semigroups of the fractional integral operators of power functions. Using the Krasnoselskii’s fixed-point theorem, we have studied the non-local problem related to fractional ...
Zhengzhi Lu
doaj   +1 more source

Asymptotically Almost Periodic Solutions for a Class of Stochastic Functional Differential Equations

Abstract and Applied Analysis, 2014
This work is concerned with the quadratic-mean asymptotically almost periodic mild solutions for a class of stochastic functional differential equations dxt=Atxt+Ft,xt,xtdt+H(t,xt,xt)∘dW(t).
Aimin Liu, Yongjian Liu, Qun Liu
doaj   +1 more source

Unitary posets and amalgamations of pomonoids

, 2014
In 1927, Schreier proved that amalgams of groups are always embeddable in the category of groups. However, this is not true in the category of semigroups, as shown by Kimura.
Al Subaiei, Bana
core   +1 more source

Inversion of a polynomial operator with the Maslov-Chebyshev symbol

Современная математика: Фундаментальные направления
The Maslov–Heaviside method is applied to the inversion of a polynomial operator by the Maslov–Chebyshev symbol introduced in the paper. The result is applied to the proof of a theorem on the Bessel operator in the Stepanov spaces \(S_p(\mathbb{R}^n),\) \
A. V. Kostin
doaj   +1 more source

On the construction of the square root for some differential operators

Современная математика: Фундаментальные направления
Using the Balakrishnan-Yosida approach to constructing fractional powers of linear operators in a Banach space by means of strongly continuous semigroups with densely defined generating operators, in this paper, a similar scheme is presented for ...
V. A. Kostin, D. V. Kostin, M. N. Silaeva   +2 more
doaj   +1 more source