Abstract and Applied Analysis

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

Raúl Manzanilla, Luis Gerardo Mármol, and Carmen J. Vanegas

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 307409, 16 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620735

Digital Object Identifier
doi:10.1155/2010/307409

Mathematical Reviews number (MathSciNet)
MR2660394

Zentralblatt MATH identifier
1204.34102

Citation

Manzanilla, Raúl; Mármol, Luis Gerardo; Vanegas, Carmen J. On the Controllability of a Differential Equation with Delayed and Advanced Arguments. Abstr. Appl. Anal. 2010 (2010), Article ID 307409, 16 pages. doi:10.1155/2010/307409. https://projecteuclid.org/euclid.aaa/1288620735


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