# A descriptive definition of the It\^{o}-Henstock integral for the operator-valued stochastic process

Document Type: Original Article

Authors

1 Department of Mathematics and Statistics, College of Science and Mathematics, Mindanao State University-Iligan Institute of Technology, 9200 Iligan City, Philippines

2 Department of Mathematics, College of Arts and Sciences, Caraga State University, 8600 Butuan City, Philippines

Abstract

‎In this paper‎, ‎we formulate a version of Fundamental Theorem for the It$\hat{\text{o}}$-Henstock integral of an operator-valued stochastic process with respect to a Hilbert space-valued Wiener process‎. ‎This theorem will give a descriptive definition of the It$\hat{\text{o}}$-Henstock integral for the operator-valued stochastic process.

Keywords

Main Subjects

### Histroty

• Receive Date: 14 August 2018
• Revise Date: 24 September 2018
• Accept Date: 24 September 2018