Approximate controllability result for backward stochastic evolution inclusions in Hilbert spaces
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.54, sa.3, ss.834-844, 2025 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 54 Sayı: 3
- Basım Tarihi: 2025
- Doi Numarası: 10.15672/hujms.1487942
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Scopus, Science Citation Index Expanded (SCI-EXPANDED), MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.834-844
- İstanbul Gelişim Üniversitesi Adresli: Hayır
Özet
In this paper, we study semilinear backward stochastic evolution inclusion systems in Hilbert spaces. First, we prove the existence of mild solution of the semilinear backward stochastic evolution inclusion systems using a multivalued fixed point theorem. Then, we obtain the approximate controllability result for semilinear backward stochastic evolution inclusion systems through the linear systems corresponding to these semilinear backward stochastic evolution inclusion systems under appropriate conditions. In particular, our study extends the results of the concept of approximate controllability to backward stochastic evolution inclusion systems.