The boundary-value problem for the linear degenerated singularly perturbed system of differential equations of the second order (in Ukrainian)

Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 2

Abstract

It is investigated the possibility of construction of the asymptotic solution of the boundary-value problem for the linear singularly perturbed system of differential equations of the second order with identically degenerated matrix at the derivatives of higher order in case than boundary bundle of matrixes has simple spectrum. It was obtained the conditions of the existence and uniqueness of the solution of this boundary-value problem and its asymptotic is constructed in form of power series with degrees of small parameter.

Authors and Affiliations

Мaryna Vira

Keywords

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  • EP ID EP310111
  • DOI 10.15330/ms.47.2.185-195
  • Views 38
  • Downloads 0

How To Cite

Мaryna Vira (2017). The boundary-value problem for the linear degenerated singularly perturbed system of differential equations of the second order (in Ukrainian). Математичні Студії, 47(2), 185-195. https://europub.co.uk/articles/-A-310111