Title
Approximate controllability of semilinear impulsive strongly damped wave equation
Abstract
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 Z1/2=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 z1M/sub> at time τ >0.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1515/jaa-2015-0005
Keywords
Semilinear impulsive strongly damped wave equation, approximate controllability, Rothe's fixed-point theorem
Publication Date
2015
Recommended Citation
Larez, Hanzel, Hugo Leiva, Jorge Rebaza, and Addison Ríos. "Approximate controllability of semilinear impulsive strongly damped wave equation." Journal of Applied Analysis 21, no. 1 (2015): 45-57.
Journal Title
Journal of Applied Analysis
