Approximate controllability of nonlinear impulsive differential systems


Sakthivel R., Mahmudov N., Kim J.

Reports on Mathematical Physics, vol.60, no.1, pp.85-96, 2007 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 60 Say: 1
  • Nəşr tarixi: 2007
  • Doi nömrəsi: 10.1016/s0034-4877(07)80100-5
  • jurnalın adı: Reports on Mathematical Physics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.85-96
  • Açar sözlər: approximate controllability, fixed point theorem., impulsive differential equations
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

Many practical systems in physical and biological sciences have impulsive dynamical be- haviours during the evolution process which can be modeled by impulsive differential equations. This paper studies the approximate controllability issue for nonlinear impulsive differential and neutral functional differential equations in Hilbert spaces. Based on the semigroup theory and fixed point approach, sufficient conditions for approximate controllability of impulsive differential and neutral functional differential equations are established. Finally, two examples are presented to illustrate the utility of the proposed result. The results improve some recent results. © 2007 Polish Scientific Publishers PWN, Warszawa.