Results 101 to 110 of about 193,737 (236)

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
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Conjugacy of Strongly Continuous Semigroups Generated by Normal Operators

, 2007
In this work, we show that a strongly continuous semigroup generated by a normal operator N is conjugate to the semigroup generated by the real part of N , provided zero is not an eigenvalue of the real part of N .
Ricardo Rosa
core  

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
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Strongly continuous semigroups on locally finite graphs

, 2019
In this paper, we propose a unified approach to prove the existence and uniqueness of the solutions of some of the evolution equations in combinatorial graphs.
Kakavandi, Bijan Ahmadi
core  

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
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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

On heredity of strongly proximal actions [PDF]

, 2003
summary:We prove that action of a semigroup $T$ on compact metric space $X$ by continuous selfmaps is strongly proximal if and only if $T$ action on ${\mathcal P}(X)$ is strongly proximal.
Raja, C. Robinson Edward
core  

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

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
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