Dr. Leonard Karshima Shilgba

Assistant Professor of Mathematics
School of Arts and Sciences

Email: shilgba@yahoo.com, shilgba@aaun.edu.ng

Educational Background:

Ph.D. Mathematics, Yokohama National University, Japan.

Dr. Shilgba is an experienced mathematician and educator and the author of two books – Calculus in Pictures, volume 1 and 2. He is also a motivational speaker and contributor to Nigeria World (www.nigeriaworld.com) where many of his articles are accessible online. He is the founder and advisor of the AUN Student Forum.

Previous Posts:

Instructor, Time Life Educational Technologies Limited, Tokyo. Japan.
International Understanding Instructor (IUI), Yokohama Board of Education, Yokohama, Japan .
Assistant Lecturer, Ahmadu Bello University, Zaria. Nigeria.
Graduate Assistant, Ahmadu Bello University, Zaria. Nigeria.
Mathematics teacher, Senior Science Secondary School Birnin-kebbi, Kebbi State, Nigeria.

Selected Publications and Papers:

Periodic and homoclinic solutions of a class of non-autonomous Hamiltonian Systems, Far East Journal of Applied Mathematics, Vol. 28, No. 1(2007), pp. 139-156.
A variant existence result for periodic solutions of a class of Hamiltonian systems with indefinite potential, Journal of Non-linear and Convex Analysis, Vol. 7, No.1 (2006), pp. 95-104.
Existence result for periodic solutions of a class of Hamiltonian systems with super quadratic potential. Journal of Non-linear Analysis, MTA Vol.63 No. 4 (2005), pp 565-574 (doi:10.1016/j.na.2005.05.018).
Multiplicity of periodic solutions for a boundary eigenvalue problem. Dynamical systems: an International Journal Vol.20, No.2 (2005), pp223-232
On Idemscalar matrices of order two. International Journal of Mathematics Education Science and Technology, IJMST Vol. 35, No.2 (2004), pp 239-244
Spectral analysis of a self-adjoint operator on a separable Hilbert space (with a bias to point spectrum) (with A.O. Ajibade), Abacus Journal of Mathematical Association of Nigeria, Vol. 30 No.2. A Mathematical series (NR-ISS 001-3099) (2003), pp. 18-22.

Research Interest:

Existence and multiplicity of periodic, sub-harmonic, homoclinic and heteroclinic solutions of various classes of Hamiltonian systems

Selected Affiliations:

American Mathematical Society
Mathematical Society of Japan
Mathematical Association of America

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