Mohammad Niksirat

University of Alberta

Department of Mathematical Sciences

Centeral Academic Building 567
Edmonton, Alberta
Canada T6G 2G1

Contact me

Research

I have a broad range of interests in applied mathematics, ranging from nonlinear Partial Differential Equations (PDEs) and dynamical systems to variational methods and optimal control. The existence of periodic solutions for non-linear systems of Ordinary Differential Equations (ODEs) using topological degree theory constitutes one part of my works. Recently, I have developed a new topological characteristic for Onsager's equation of liquid crystals that enabled us to determine the structure of bifurcation solutions. The application of topological methods for the existence of optimal control for distributed parameter systems is another field of my mathematical research.

Online TextBooks (free for download for non-profit use)
1. Multivariable Calculus (2023).
2. Differential Equations: Ordinary and initial value problems (2017).
3. Differential Equations: Partial and boundary value problems (2018)
Selected peer reviewd journal Papers
1. M. Niksirat, On the stationary solution of Doi-Onsager equation in general dimension, Nonlinear Analysis, 178 (2019) 366-380.
2. M. Niksirat, A new generalization of Browder's degree, Journal of Integral Equations and Applications, (2019), appear soon, arXiv:1801.03450
3. M. Niksirat, A new construction of the degree of maximal monotone maps, Accepted in Australian Journal of Mathematical Analysis and Applications (2019) arXiv:1805.07335
4. M. Niksirat and X. Yu, Note on stationary solutions of the 2D Doi-Onsager model, J. Math. Anal. Appl. 430 (2015), no. 1, 152–165.
5. M. Niksirat and B. Mehri, On the existence of positive solution for second-order multi-points boundary value problems, J. Comput. Appl. Math. 193 (2006), no. 1, 269-276.
6. M. Niksirat and B. Mehri, Some computable results on the existence of periodic solutions for singular non-autonomous third order systems, Appl. Math. Comput. 163 (2005), no. 1, 51–60.
7. M. Niksirat and B. Mehri, On the existence of periodic solutions for certain differential equations, J. Comput. Appl. Math. 174 (2005), no. 2, 239–249.
8. B. Mehri and M. Niksirat, On the existence of periodic solutions for singular non-autonomous third order systems, Appl. Comput. Math. 2 (2003), no. 2, 148–155.
9. B. Mehri and M. Niksirat, On the existence of periodic solutions for the quasi-linear third-order differential equation, J. Math. Anal. Appl. 261 (2001), no. 1. 159-167.
10. B. Mehri and M. Niksirat, The existence of periodic solutions for the non-linear autonomous O.D.Es, Nonlinear Anal. Forum, 5. (2000), 163–171.
Taught Courses at the University of Toronto
- Partial Differential Equations, APM346, 2018
- Advanced Calculus- MAT237, 2018
- Multi-variable Calculs- MAT235, 2017
- Ordinary Differential Equations- MAT244, 2017
- CalculusI- MATH135, 2016
- CalculusII- MATH136, 2017
Taught Courses at the University of Alberta
- Introduction to Partial Differential Equations- MATH337, 2018, 2019
- Intorduction to Ordinary Differential Equations- MATH334, 2013, 2014, 2015
- Numerical Methods- MATH381, 2018, 2019
- Advanced boundary value problems MATH300, 2014, 2105
- BioCalculus, MAT134, 2019
- Calculus II, MAT115, 2013,2015, 2018
Taught Courses at the University of Alabama-Birmingham
- Calculus I, MA125, 2007
- Calculus II, MA126, 2007

Mohammad Niksirat

University of Alberta

Department of Mathematical Sciences

Research

Online TextBooks (free for download for non-profit use)

Selected peer reviewd journal Papers

Taught Courses at the University of Toronto

Taught Courses at the University of Alberta

Taught Courses at the University of Alabama-Birmingham