English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

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 spaceZ   1  /  2    =  D   (    (  -  Δ  )    1  /  2    )   ×   L  2    (  Ω  )${Z_{1/2} = D((-\Delta )^{1/2}) \times L^{2}(\Omega )}$   , where Ω is a bounded domain in ℝ  n   ( 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  ]    ${[0, \tau ]}$   . Moreover, we exhibit a sequence of controls steering the nonlinear system from an initial state  z  0  to a neighborhood of the final state  z  1  at timeτ  &gt;  0    ${\tau &amp;gt;0}$   .

Approximate controllability of semilinear impulsive strongly damped wave equation