Professor; Director of Undergraduate Programs
(205) 934-2154
University Hall 4033
Research and Teaching Interests: Nonlinear partial differential equations and applications, Nonlinear analysis, Continuous dynamical systems
Office Hours: M 11:00 a.m. - 1:00 p.m.; and by appointment
Education:
- Ph.D., Catholic University of Louvain (Belgium), Mathematics
Upon receiving my doctorate in Mathematics from the Catholic University of Louvain (UCL) in Belgium, I moved to Italy as a fellow of the Italian National Council for Research (CNR). I subsequently taught in Italy. I then moved to the USA as Assistant Professor of Mathematics at the University of Memphis (UM), TN, where I was promoted to Associate Professor. I then joined UAB as Associate Professor of Mathematics, and was subsequently promoted to Full Professor.
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Recent Courses
- Calculus
- Partial Differential Equations
- Ordinary Differential Equations
- Calculus of Several Variables
- Linear Algebra
- Vector Analysis
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Select Publications
- M. N. Nkashama. Semilinear periodic-parabolic equations with nonlinear boundary conditions. J. Differential Equations 130 (1996), 377-405.
- M. N. Nkashama and S. B. Robinson. Resonance and nonresonance in terms of average values II. Proc. Royal Soc. Edinburgh 131A (2001), 1217-235.
- M. N. Nkashama. Unique continuation on the gradient for second order elliptic equations with lower order terms. J. Comput. Anal. Appl. 12 (2010), no. 1-B, 293-304.
- N. Mavinga and M. N. Nkashama. Steklov-Neumann eigenproblems and nonlinear elliptic equations with nonlinear boundary conditions. J. Differential Equations 248 (2010), no. 5, 1212-229.
- N. Mavinga and M. N. Nkashama. Strong full bounded solutions of nonlinear parabolic equations with nonlinear boundary conditions. Nonlinear Anal., TMA 74 (2011), 5171-188.
- N. Mavinga and M. N. Nkashama. Nonresonance on the boundary and strong solutions of elliptic equations with nonlinear boundary conditions. J. Appl. Funct. Anal. 7 (2012), 248-57.
- N. Mavinga and M. N. Nkashama. Resonance problems for nonlinear elliptic equations with nonlinear boundary conditions. J. Appl. Funct. Anal. 10 (2015), 281-95.
- K. Antwi-Fordjour and M. N. Nkashama. Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions. Applied Mathematics 8 (2017), 857-67.
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Academic Distinctions & Professional Memberships
Selected Invited Addresses:
- Special Session, American Institute of Mathematical Sciences International Conference on Differential Equations and Dynamical Systems, July 2016
- Special Session, American Mathematical Society, Joint Meeting, Seattle, WA, January 2016
- Special Session, American Mathematical Society, Joint Meeting, Orlando, FL, January 2015
- Special Session, American Mathematical Society, Joint Meeting, Baltimore, MD, January 2014
- Special Session, American Mathematical Society, Temple University, Philadelphia, PA, October, 2013
- Special Session, American Mathematical Society, Joint Meetings, Boston, MA, January, 2012
- Special Session, International Conference on Dynamic Systems and Applications, Atlanta, GA, May 27, 2011
- International Journal of Evolution Equations
- Journal of Computational Analysis and Applications
- Communications on Applied Nonlinear Analysis
- J. of Differential Equations
- Mathematische Annalen
- J. London Mathematical Society
- Proceedings of The American Mathematical Society
- J. Mathematical Analysis and Applications
- Nonlinear Analysis TMA
- Advanced Nonlinear Studies
- Applicable Analysis
- Nonlinear World
- J. of the Franklin Institute