Asymptotic solutions of boundary value problem for singularly perturbed system of differential-algebraic equations | Zendy

Petro Samusenko | Zendy; М. Б. Вiра | Zendy

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Asymptotic 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 -

carpathian mathematical publications

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.

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