Approximate controllability of some nonlinear systems in Banach spaces

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Mahmudov N.

Boundary Value Problems, vol.2013, 2013 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 2013
  • Nəşr tarixi: 2013
  • Doi nömrəsi: 10.1186/1687-2770-2013-50
  • jurnalın adı: Boundary Value Problems
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper, abstract results concerning the approximate controllability of semilinear evolution systems in a separable reflexive Banach space are obtained. An approximate controllability result for semilinear systems is obtained by means of Schauder's fixed-point theorem under the compactness assumption of the linear operator involved. It is also proven that the controllability of the linear system implies the controllability of the associated semilinear system. Then the obtained results are applied to derive sufficient conditions for the approximate controllability of the semilinear fractional integrodifferential equations in Banach spaces and heat equations. © 2013 Gao and Gao; licensee Springer.