Approximate controllability of the impulsive semilinear heat equation

• Autorzy: Leiva H. , Merentes N.

Identyfikatory

DOI

10.7862/rf.2015.8

• Języki publikacji: EN

Abstrakty

EN

In this paper we apply Rothe's Fixed Point Theorem to prove the interior approximate controllability of the following semilinear impulsive Heat Equation [...] where k = 1, 2, . . . , p, Ω is a bounded domain in [...] is an open nonempty subset of Ω, 1ω denotes the characteristic function of the set ω, the distributed control u belongs to [...]. Under this condition we prove the following statement: For all open nonempty subsets ω of Ω the system is approximately controllable on [0, τ]. Moreover, we could exhibit a sequence of controls steering the nonlinear system from an initial state z0 to an ϵ neighborhood of the nal state z1 at time τ > 0.

Słowa kluczowe

EN

impulsive semilinear heat equation; approximate controllability; Rothe's fixed point theorem; functional analysis

PL

teoria punktu stałego; przestrzeń Banacha; równanie przewodnictwa ciepła; sterowalność; analiza funkcjonalna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2015
• Tom: Vol. 38
• Strony: 85--104
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Leiva H.

• Universidad de los Andes, Facultad de Ciencias, Departamentode Matemática, Mérida 5101-Venezuela

autor

Merentes N.

• Universidad Central de Venezuela, Facultad de Ciencias, Departamento de Matemática, Caracas -Venezuela

Bibliografia

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