Approximate controllability result for backward stochastic evolution inclusions in Hilbert spaces

---

Temel C., Selah M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.54, sa.3, ss.834-844, 2025 (SCI-Expanded)

• 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: Science Citation Index Expanded (SCI-EXPANDED)
• Sayfa Sayıları: ss.834-844
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

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.