School of Technology and Computer Science Seminars
Perturbations of Non-linear Systems of Differential Equations
by Mr. Gugan Thoppe (School of Technology and Computer Science)
Friday, January 11, 2013
from
to
(Asia/Kolkata)
at Colaba Campus ( A-212 (STCS Seminar Room) )
at Colaba Campus ( A-212 (STCS Seminar Room) )
Description |
The method of variation of parameters, credited to J.L. Lagrange, expresses each solution of the perturbed system of differential equations, x' = A(t)x + f(t), in terms of the solution of the associated homogeneous system, y' = A(t)y. In this talk, we will give an intuitive appreciation of why this result is to be expected. Using this understanding, we will then discuss the analogue of this method, developed by V.M. Alekseev, for obtaining solutions to perturbations of nonlinear system of differential equations. |