FINITE-APPROXIMATE CONTROLLABILITY OF EVOLUTION EQUATIONS

Mahmudov N.

Applied and Computational Mathematics, vol.16, no.2, pp.159-167, 2017 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 16 Say: 2
  • Nəşr tarixi: 2017
  • jurnalın adı: Applied and Computational Mathematics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.159-167
  • Açar sözlər: Approximate Controllability, Evolution Equations, Finite-Approximate Controllability
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper we study a finite-approximate controllability of semilinear evolution equations in Hilbert spaces. We prove that if the linear part of the system is approximately controllable then under natural conditions on nonlinear part the semilinear system is finite-approximately controllable. Finally, we apply our abstract results to the finite-approximate controllability of the semilinear heat equation.