Investigating the existence and uniqueness of solutions of certain higher order integro-differential equations. A preliminary result on numerical solutions of this kind of equations that appear in crystallization was published in the Proceedings of the CTTACS conference that was held at NDU, Lebanon in February 2008. Finding a small price numerical scheme that solves certain delay-differential equations with decreasing time-delay. A preliminary but incomplete result that appears in the study of cancer chemotherapy was introduced in the seminar that I gave at NDU in April 2008. Investigating the existence and uniqueness of solutions of certain higher order functional differential equations. The Riemann-Zeta function is of great interest in Mathematics. Exact values for ζ(s) are known for even values of s. For example ζ(2)=π²/6, ζ(4)=π⁴/90 etc…We do not know yet the exact value of ζ(s) for odd values of s . Let’s see if we can do anything in this regard.

Ph.D. in Mathematics, University of California, Los Angeles, U.S.A., 1995

M.A. in Mathematics, University of California, Los Angeles, U.S.A., 1992

M.Sc. in Mathematics, University of Leeds, England, 1987

Conference Proceedings

Ghalayini, B.B., Zoghbi, M.C., and Saleeby, E.G. (Feb 2008) A Numerical Method for solving a Nonlinear Integrodifferential Equation Arising in Crystallization, Proceedings of the First Conference on Current Trends in the Theory and Applications of Computer Science, Beirut: Notre Dame University, pp 318-334.