Speaker
Description
We study a weakly nonlinear boundary-value problem for a system of delay differential equations. The initial function of the delay differential system contains an unknown eigenfunction that provides the solvability of the weakly nonlinear boundary-value problem. Due to the impossibility of defining solutions of weakly nonlinear boundary-value problems in terms of elementary functions, the necessity of deriving computational iterative solution methods arises. We obtain conditions of solvability and construct a new iterative scheme for finding solutions of the weakly nonlinear boundary-value problem for a system of differential equations with delay as well as its eigenfunction. One potential application of this study of the boundary-value problem with delay is connected to the problem of simulating nonisothermal chemical reactions.
