Controllability of Second Order Semilinear Random Differential Equations in Fréchet Spaces

Salim A., Mesri F., Benchohra M., Tunç C.

Mediterranean Journal of Mathematics, cilt.20, sa.2, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s00009-023-02299-0
  • Dergi Adı: Mediterranean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Functional differential equation, random mild solution, cosine and sine families, Frechet space, controllability
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.This paper deals with the study of some existence and controllability results for a class of second-order functional differential equations with random effects in Fréchet spaces. The technique used to show the existence of random mild solutions is a generalization of the original Darbo fixed point theorem for Fréchet spaces combined with the notion of measure of noncompactness, and we prove that our problems are controllable.