Approximate controllability of impulsive semilinear evolution equations in Hilbert spaces

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Asadzade J. A., Mahmudov N.

International Journal of Control, 2025 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.1080/00207179.2025.2516182
  • jurnalın adı: International Journal of Control
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, zbMATH
  • Açar sözlər: Approximate controllability, existence and uniqueness, impulsive systems
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

Several dynamical systems in fields such as engineering, chemistry, biology, and physics show impulsive behaviour by reason of unexpected changes at specific times. These behaviours are described by differential systems under impulse effects. The current paper examines approximate controllability for semi-linear impulsive differential and neutral differential equations in Hilbert spaces. By applying a fixed-point method and semigroup theory, a new sufficient condition is provided for the ((Formula presented.) -controllability) approximate controllability of neutral and impulsive differential equations (IDEs). To demonstrate the value of the suggested consequences, three examples are presented, offering improvements over some recent findings.