Speaker
Description
We analyze the relationship between boundary value problems with impulsive action at fixed points in time and boundary value problems with switching at fixed and non-fixed points in time. We derive constructive conditions for the solvability of these problems and a scheme for constructing solutions to a nonlinear periodic boundary value problem with switching at non-fixed points in time. Both are based on using the Adomian decomposition method. In addition, we obtain constructive conditions for the convergence of the iterative scheme to the solution of the weakly nonlinear boundary value problem, as well as the switching points. The obtained iterative scheme is applied to find approximations to the periodic solution of the equation with switching at non-fixed moments of time, which models, e.g., a nonisothermal chemical reaction.
