Bogolyubov Kyiv Conference "Problems of Theoretical and Mathematical Physics"

Asymptotic solutions of boundary value problem for singularly perturbed differential algebraic equations

Not scheduled

20m

Institute of Mathematics

Poster MATHEMATICS MATHEMATICS

Speaker

Петро Самусенко (НТУУ "КПІ імені Ігоря Сікорського")

Description

This paper deals with the boundary value problem for a singularly pertur-bed differential algebraic system of the second order. The case of simple roots of the characteristic equation is studied. The sufficient conditions for existence and uniqueness of a solution of the boundary value problem for DAEs are found. Technique of constructing the asymptotic solutions is developed.