Nsoki Mamie Mavinga
Department of Mathematics and Statistics
Swarthmore College
500 College Ave
Swarthmore, PA 19081
General Information
Associate Professor, Department of
Mathematics and Statistics, Swarthmore College, 2018.
Assistant Professor, Department of
Mathematics and Statistics, Swarthmore College, 20132018.
Visiting Assistant Professor,
Department of Mathematics and Statistics, Swarthmore College; 20112013.
Visiting Assistant Professor/Postdoc, Mathematics, University of Rochester; 20082011.
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 pLaplacian 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),
4356.
 "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),
165191.
(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), 11721188.
 "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), 649671.
 "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 34 (2015), 281295.
 "Strong Bounded Solutions of Nonlinear Parabolic Systems," N. Mavinga and
M. N. Nkashama, Electron. J. Diff. Eqns., Conference 21 (2014), 197221.
(PDF)
 "Generalized Eigenproblem and Nonlinear Elliptic Equations
with Nonlinear Boundary Conditions," N. Mavinga, Proceedings
Royal Society Edinburgh, 142 A (2012), 137153.
 "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), 248257
 "Strong Full Bounded Solutions of Nonlinear Parabolic Equations with Nonlinear Boundary Conditions," N. Mavinga and
M. N. Nkashama, Nonlinear Analysis, 74 (2011), 51715188.
 "SteklovNeumann Eigenproblems and Nonlinear Elliptic
Equations with Nonlinear Boundary Conditions," N. Mavinga and
M. N. Nkashama, J. Differential Equations, 248 (2010), 12121229.
 "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), 820833.
Refereed publications with students
 "Analysis of a VectorBorne Diseases Model with a TwoLag Delay
Differential Equation," Yusuf Qaddura `20 and N. Mavinga , North Carolina Journal of Mathematics and
Statistics, Vol 4 (2018), 1228.
(PDF)
 "Numerical solutions of American options with dividends,"
Chi Zhang `15 and N. Mavinga, North Carolina Journal of Mathematics and
Statistics, Vol 1 (2015), 116.
(PDF)
 "Nonautonomous Logistic Equations and Optimization of
Renewable Resources Management,"Mingli Zhong (UR student) and
N. Mavinga (faculty advisor), SIAM
Undergraduate Research Online, Vol 5 (2012), 1634.
(PDF)
Teaching
Current Teaching
 Math 63 (two sections): Real Analysis I
 Math 93: Directed Reading
Previous Teaching at Swarthmore
 Math 15SP: CalculusSTEM 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 165:
Differential Equations with Linear Algebra