Operator Theory, Integral Equations, Approximation of Pseudo-Differential Operators

Teaching Experience:

02.2018 – Present, Southern University of Science and Technology, Shenzhen, China Visiting Professor.

09.2017 – 02.2018, Ton Duc Thang University, Ho Chi Minh, Vietnam

Visiting Professor.

12.2008 - 12.2016, University of Brunei Darussalam, Brunei

Professor.

03.2004 -12.2008, Universiti Brunei Darussalam, Brunei

Associate Professor.

12.1998  02.2004 Universiti Brunei Darussalam, Brunei

Senior Lecturer.

09.1995 - 12.2001, Odessa I.I Mechnikov State University, Ukraine.

Professor.

04.1996 - 05.1997, Chemnitz University of Technology, Germany.

Research Associate

10.1979 - 09.1995, Odessa I.I Mechnikov State University, Ukraine.

Lecturer, Senior Lecturer, Associate Professor.

COURSES TAUGHT:

Undergraduate: Calculus, Linear Algebra, Ordinary Differential Equations, Numerical Analysis, Advanced Mathematical Methods, Complex Analysis, Functional Analysis, Real Analysis, Integral Equations.

Postgraduate: Functional Analysis, Fredholm Operators, Projection Methods, Boundary Integral Equations,

Measure Theory and Lebesgue Integral, Toeplitz Operators, C*-Algebras in Numerical Analysis.

RECENT SELECTED PUBLICATIONS

1. Didenko V.D. and B. Silbermann, (2019) The invertibility of Toeplitz plus Hankel operators with

subordinated operators of even index. Linear Algebra and Applications, 578, pp. 425–445.

2. Didenko V.D. and B. Silbermann.(2018) Kernels of a class of Toeplitz plus Hankel operators with piecewise

continuous generating functions. Contemporary Computational Mathematics – A Celebration

of the 80th Birthday of Ian Sloan. J. Dick, F. Y. Kuo, H. Wo´zniakowski, eds., Springer, pp. 317–337.

3. Didenko V.D. and B. Silbermann. (2017) Invertibility and inverses of Toeplitz plus Hankel operators.

Journal of Operator Theory, 78, Issue 2, pp. 293-307.

4. Didenko V.D. and R.V. Duduchava. (2016) Mellin convolution operators in Bessel potential spaces.

Journal of Mathematical Analysis and Applications. 443, Issue 2, pp. 707–731.

5. Didenko V.D., Tang T., and A. M. Vu. (2015) Spline Galerkin methods for the Sherman-Lauricella

equation on simple contours with corners. SIAM J. Numerical Analysis, 53, Issue 6, pp. 2752–2770.

6. Didenko V.D. and B. Silbermann. (2014) Structure of kernels and cokernels of Toeplitz plus Hankel

operators. Integral Equations and Operator Theory, 80, Issue 1, pp. 1–31.

OTHER PROFESSIONAL ACTIVITIES

1. Managing Editor of the East Asian Journal on Applied Mathematics, Global Science Press.

2. Advisory Editor of the Mathematical Methods in the Applied Sciences, Wiley.

3. Vice President of the East Asia Section of SIAM: 01.01.2009 – 31.12.2010. 4. Member of the Standing Committee of the East Asia Section of SIAM: 2004–2014.