Solutions and constrained null-controllability for a differential-difference equation

In: Mathematica Slovaca, vol. 66, no. 1

Valentina Iakovleva - Raúl Manzanilla - Luis Gerardo Mármol - Carmen J. Vanegas

Detaily:

Rok, strany: 2016, 169 - 184

Kľúčové slová:

functional partial differential equations, mixed-type difference-differential equations, strongly continuous semigroups, exact controllability

DOI: https://doi.org/10.1515/ms-2015-0127

O článku:

A formula for the solution of a differential-difference equation is given, and then the corresponding semigroup theory is developed, with a detailed description of the infinitesimal generator and some of its spectral properties. Results in Sections 2 and 3 are used in particular to show how the equation can be rewritten as a classical Cauchy problem. This, in Section 4, allows to study its exact null-controllability, by using some techniques from Functional Analysis and Operator Theory. The control $u$ is constrained to lie in a separable weakly compact subset $Ω$ of an arbitrary Banach space $U$.

Ako citovať:

ISO 690:

Iakovleva, V., Manzanilla, R., Mármol, L., Vanegas, C. 2016. Solutions and constrained null-controllability for a differential-difference equation. In Mathematica Slovaca, vol. 66, no.1, pp. 169-184. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0127

APA:

Iakovleva, V., Manzanilla, R., Mármol, L., Vanegas, C. (2016). Solutions and constrained null-controllability for a differential-difference equation. Mathematica Slovaca, 66(1), 169-184. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0127

O vydaní:

Publikované: 2. 2. 2016