Approximate controllability result for backward stochastic evolution inclusions in Hilbert spaces

Cesim Temel; Müberra Selah

Makale detayları

Approximate controllability result for backward stochastic evolution inclusions in Hilbert spaces

Yazarlar:

Cesim Temel | Müberra Selah

Yayıncı:

Hacettepe University

Ana Başlıklar:

Ordinary Differential Equations | Difference Equations and Dynamical Systems | Operator Algebras and Functional Analysis | Calculus of Variations | Mathematical Aspects of Systems Theory and Control Theory

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 3, pp.834-844

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001351214

pISSN:

2651-477X

Anahtar kelimeler:

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.

 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.

 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.

 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.

Makale detayları

Approximate controllability result for backward stochastic evolution inclusions in Hilbert spaces

Yazarlar:

Cesim Temel | Müberra Selah

Yayıncı:

Hacettepe University

Ana Başlıklar:

Ordinary Differential Equations | Difference Equations and Dynamical Systems | Operator Algebras and Functional Analysis | Calculus of Variations | Mathematical Aspects of Systems Theory and Control Theory

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 3, pp.834-844

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001351214

pISSN:

2651-477X

backward stochastic evolution inclusions

approximate controllability

mild solutions

multivalued maps

Hausdorff measure of noncompactness

Sayı

Makale detayları

Approximate controllability result for backward stochastic evolution inclusions in Hilbert spaces

Yazarlar: Cesim Temel | Müberra Selah

Yayıncı: Hacettepe University

Ana Başlıklar: Ordinary Differential Equations | Difference Equations and Dynamical Systems | Operator Algebras and Functional Analysis | Calculus of Variations | Mathematical Aspects of Systems Theory and Control Theory

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 3, pp.834-844

Belge Tipi: Makale

Yayın Tarihi: 6/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001351214

pISSN: 2651-477X

backward stochastic evolution inclusions

approximate controllability

mild solutions

multivalued maps

Hausdorff measure of noncompactness

Sayı

Yazarlar:

Cesim Temel | Müberra Selah

Yayıncı:

Hacettepe University

Ana Başlıklar:

Ordinary Differential Equations | Difference Equations and Dynamical Systems | Operator Algebras and Functional Analysis | Calculus of Variations | Mathematical Aspects of Systems Theory and Control Theory

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 3, pp.834-844

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001351214

pISSN:

2651-477X