Open AccessAsymptotic solutions of boundary value problem for singularly perturbed system of differential-algebraic equations
Author(s) -
Petro Samusenko,
М. Б. Вiра
Publication year - 2022
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.14.1.49-60
Subject(s) - mathematics , method of matched asymptotic expansions , uniqueness , boundary value problem , mathematical analysis , algebraic number , algebraic equation , differential equation , order (exchange) , simple (philosophy) , initial value problem , differential algebraic geometry , differential algebraic equation , ordinary differential equation , nonlinear system , physics , finance , quantum mechanics , economics , philosophy , epistemology
This paper deals with the boundary value problem for a singularly perturbed system of differential algebraic equations 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 system of differential algebraic equations are found. Technique of constructing the asymptotic solutions is developed.