Applied Math Colloquium Talk - Dr. Marianito Rodrigo

Rescheduled from September 27 to October 3.

Title: On an explicit analytical method for solving a class of operator equations

Speaker:
Marianito Rodrigo
School of Mathematics and Applied Statistics University of Wollongong, Australia

Abstract:
This talk is addressed to a broad mathematical audience. Some familiarity with normed vector spaces and linear operators is assumed; all other necessary concepts will be provided.

I will give an analytical method for finding explicit solutions to a class of operator equations of the form Lx = Ax, where L and A are appropriate bounded linear operators on a Banach space X and L is "evolution-like".
This class encompasses systems of equations involving ordinary derivatives, difference operators and fractional derivatives, as well as eigenvalue problems and operator exponentials.