On the Controllability of a Differential Equation with Delayed and Advanced Arguments-Reference-Cited by-同舟云学术

On the Controllability of a Differential Equation with Delayed and Advanced Arguments

Published:2010 Issue: Volume:2010 Page:1-16
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Manzanilla Raúl¹,Mármol Luis Gerardo¹^ORCID,Vanegas Carmen J.¹^ORCID

Affiliation:

1. Departamento de Matemáticas Puras y Aplicadas, Universdad Simón Bolívar, Caracas 1080-A, Venezuela

Abstract

A semigroup theory for a differential equation with delayed and advanced arguments is developed, with a detailed description of the infinitesimal generator. This in turn allows to study the exact controllability of the equation, by rewriting it as a classical Cauchy problem.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2010/307409.pdf

Reference13 articles.

1. Functional differential equations of mixed type: The linear autonomous case

2. Hopf bifurcation for functional differential equations of mixed type

3. Computation of Mixed Type Functional Differential Boundary Value Problems

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