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Professor/Interim Chair

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(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.

Recent Courses

  • Calculus
  • Partial Differential Equations
  • Ordinary Differential Equations
  • Calculus of Several Variables
  • Linear Algebra
  • Vector Analysis

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.

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
Editorial Board Member of:
  • International Journal of Evolution Equations
  • Journal of Computational Analysis and Applications
  • Communications on Applied Nonlinear Analysis
Journal Referree for:
  • 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