Nsoki Mamie Mavinga

General Information

Associate Professor, Department of Mathematics and Statistics, Swarthmore College, 2018-.

Assistant Professor, Department of Mathematics and Statistics, Swarthmore College, 2013-2018.

Visiting Assistant Professor, Department of Mathematics and Statistics, Swarthmore College; 2011-2013.

Visiting Assistant Professor/Post-doc, Mathematics, University of Rochester; 2008-2011.

Ph.D., Mathematics, University of Alabama at Birmingham; August 2008.

Research Interests

My research focuses on nonlinear analysis and partial differential equations. I am particularly interested in the solvability of nonlinear second order parabolic and elliptic partial differential equations subject to nonlinear boundary conditions, and how these problems interrelate with physical and biological phenomena. I am also interested in mathematical epidemiology, im particular, developing and analyzing some delay differential equations models for infectious diseases.

Selected Publications

• "Fucik Spectrum with weights and existence results for nonlinear elliptic equations with nonlinear boundary conditions," N. Mavinga, Q. Morris, and S. Robinson, acccepted (2021).
  

• "Equivalence between uniform $L^{p^\star}(\Omega)$ A Priori Bounds and uniform $L^{\infty}(\Omega)$ A Priori Bounds for subcritical p-Laplacian equations," N. Mavinga and R. Pardo, Mediterranean Journal of Mathematics, Vol 18 (2021).
  

• "Equivalence between uniform $L^{2^\star}(\Omega)$-bounds and uniform $L^{\infty}(\Omega)$-bounds for subcritical elliptic equations," A. Castro, N. Mavinga and R. Pardo, Topological Methods in Nonlinear Analysis, Vol 53 (2019), 43-56.
  

• "Bifurcation from infinity and multiplicity of solutions for nonlinear periodic boundary value problems," N. Mavinga and M. N. Nkashama, Rend. Istit. Mat. Univ. Trieste, Vol 49 (2017), 165-191. (PDF)
  

• "A priori bounds and existence of positive solutions for semilinear elliptic systems," N. Mavinga and R. Pardo, J. Math. Anal. Appl., Vol 449, Issue 2 (2017), 1172-1188.
  

• "Bifurcation from infinity and existence of solutions for nonlinear elliptic equations with nonlinear boundary conditions," N. Mavinga and R. Pardo, Proc. Royal Soc. Edinburgh, 147A, Issue 3 (2017), 649-671.
  

• "Resonance Problems for Nonlinear Elliptic Equations with Nonlinear Boundary Conditions," N. Mavinga and M. N. Nkashama, Journal of Applied Functional Analysis, Vol 10, No.'s 3-4 (2015), 281-295.
  

• "Strong Bounded Solutions of Nonlinear Parabolic Systems," N. Mavinga and M. N. Nkashama, Electron. J. Diff. Eqns., Conference 21 (2014), 197--221. (PDF)
  

• "Generalized Eigenproblem and Nonlinear Elliptic Equations with Nonlinear Boundary Conditions," N. Mavinga, Proceedings Royal Society Edinburgh, 142 A (2012), 137-153.
  

• "Nonresonance on the boundary and strong solutions of elliptic equations with nonlinear boundary conditions," N. Mavinga and M. N. Nkashama, Journal of Applied Functional Analysis, Vol 7, No 3 (2012), 248-257
  

• "Strong Full Bounded Solutions of Nonlinear Parabolic Equations with Nonlinear Boundary Conditions," N. Mavinga and M. N. Nkashama, Nonlinear Analysis, 74 (2011), 5171-5188.
  

• "Steklov-Neumann Eigenproblems and Nonlinear Elliptic Equations with Nonlinear Boundary Conditions," N. Mavinga and M. N. Nkashama, J. Differential Equations, 248 (2010), 1212-1229.
  

• "Inferences and Power Analysis concerning Two Negative Binomial Distributions with an Application to MRI Lesion Counts Data," B. Aban, N. Mavinga and G. R. Cutter , Computational Statistics and Data Analysis, 53(3) (2008), 820-833.
  

Refereed publications with students

• "Analysis of a Vector-Borne Diseases Model with a Two-Lag Delay Differential Equation," Yusuf Qaddura `20 and N. Mavinga , North Carolina Journal of Mathematics and Statistics, Vol 4 (2018), 12-28. (PDF)
  

• "Numerical solutions of American options with dividends," Chi Zhang `15 and N. Mavinga, North Carolina Journal of Mathematics and Statistics, Vol 1 (2015), 1-16. (PDF)
  

• "Non-autonomous Logistic Equations and Optimization of Renewable Resources Management,"Mingli Zhong (UR student) and N. Mavinga (faculty advisor), SIAM Undergraduate Research Online, Vol 5 (2012), 16-34. (PDF)
  

Teaching

Current Teaching

• Math 63 (two sections): Real Analysis I
  

• Math 93: Directed Reading
  

Previous Teaching at Swarthmore

• Math 15SP: Calculus-STEM Scholars Program, Fall 2018, Fall 2020
  

• Math 15: Elementary Single Variable Calculus, Fall 2011, Fall 2013, Fall 2014, Fall 2016, Fall 2018, Fall 2020
  

• Math 25: Futher Topics: Single Variable Calculus, Spring 2012, Spring 2017
  

• Math 33: Basic Several Variable Calculus, Fall 2013
  

• Math 34: Several Variable Calculus, Spring 2015, Fall 2016
  

• Math 43: Basic Differential Equations, Spring 2021
  

• Math 44: Differential Equations, Spring 2013, Spring 2014, Spring 2015, Spring 2017
  

• Math 54: Partial Differential, Spring 2012, Spring 2014, Spring 2018
  

• Math 63: Real Analysis I, Fall 2012, Fall 2017
  

• Math 73: Advanced Topics in Analysis: Functional Analysis, Spring 2019
  

• Math 101: Real Analysis II (Seminar), Fall 2014, Spring 2018
  

• Math 93: Directed Reading, Spring 2014, Spring 2017, Spring 2019
  

Previous Teaching at the University of Rochester

• Math 140A: Calculus with Foundation I
  

• Math 141: Calculus I
  

• Math 142: Calculus II
  

• Math 161: Calculus IA
  

• Math 162: Calculus IIA
  

• Math 165: Differential Equations with Linear Algebra