Approximate controllability of semilinear impulsive strongly damped wave equation

• Autorzy: Larez H. , Leiva H. , Rebaza J. , Rios A.

Identyfikatory

DOI

10.1515/jaa-2015-0005

• Języki publikacji: EN

Abstrakty

EN

Rothe’s fixed-point theorem is applied to prove the interior approximate controllability of a semilinear impulsive strongly damped wave equation with Dirichlet boundary conditions in the space Z_1/2 = D((-Δ)^1/2) × L²(Ω), where Ω is a bounded domain in Rⁿ (n ≥ 1). Under some conditions we prove the following statement: For all open nonempty subsets ω of Ω the system is approximately controllable on [0, τ]. Moreover, we exhibit a sequence of controls steering the nonlinear system from an initial state z₀ to a neighborhood of the final state z₁ at time τ > 0.

Słowa kluczowe

EN

semilinear impulsive strongly damped wave equation; approximate controllability; Rothe's fixed point theorem

PL

równanie falowe; sterowalność aproksymacyjna; twierdzenie Rothe'a o punkcie stałym

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2015
• Tom: Vol. 21, nr 1
• Strony: 45--57
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Larez H.

• Dpto. de Sistemas de Control, Facultad de Ingeniería, Universidad de Los Andes, Mérida 5101, Venezuela

autor

Leiva H.

• Dpto. de Sistemas de Control, Facultad de Ingeniería, Universidad de Los Andes, Mérida 5101, Venezuela

autor

Rebaza J.

• Department of Mathematics, Missouri State University, Springfield, MO 65897, USA

autor

Rios A.

• Dpto. de Sistemas de Control, Facultad de Ingeniería, Universidad de Los Andes, Mérida 5101, Venezuela

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