Existence, uniqueness, and controllability results for neutral FSDES in Hilbert spaces

Samoilenko A., Mahmudov N., Stanzhitskii A.

Dynamic Systems and Applications, vol.17, no.1, pp.53-70, 2008 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 17 Say: 1
  • Nəşr tarixi: 2008
  • jurnalın adı: Dynamic Systems and Applications
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.53-70
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

We establish results concerning the global existence, uniqueness, and controllability of mild solutions for a neutral functional stochastic differential equations with variable delay in a real separable Hilbert space. The results are obtained by imposing a so-called Caratheódory condition on the nonlinearities, which is weaker than the classical Lipschitz condition. Examples illustrating the applicability of the general theory are also provided. ©Dynamic Publishers, Inc.