Approximate controllability of integro-differential equations in a hilbert space with nonlocal conditions

Muslim M., Agarwal R., Mahmudov N.

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol.18, no.2, pp.269-283, 2011 (Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 18 Say: 2
  • Nəşr tarixi: 2011
  • jurnalın adı: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
  • Jurnalın baxıldığı indekslər: Scopus
  • Səhifə sayı: pp.269-283
  • Açar sözlər: Approximate controllability, Banach fixed point theorem, Compact semigroup, Complete control-lability, Integro-di®erential equation, Schauder fixed point theorem
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper we shall study an integro-di®erential equation in a separable Hilbert space. We shall use the compact semigroup theory of linear operators and Schauder fixed point theorem to study the approximate controllability of the given problem. We shall also study the complete controllability of the given system with the help of Banach fixed point theorem. Finally, we shall give some examples to illustrate the application of our results. Copyright © 2011 Watam Press.