The boundary-value problem for the linear degenerated singularly perturbed system of differential equations of the second order (in Ukrainian) |
|
| Author |
VyraMaryna@mail.ru
Nizhyn Gogol State University, Nizhyn, Ukraine
|
| 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.
|
| Keywords |
boundary-value problem; system of differential equations of the second order; the conditions of
the existence and uniqueness
|
| DOI |
doi:10.15330/ms.47.2.185-195
|
| Reference |
1. Yakovets V.P., Vira M.B. On the construction of asymptotic solutions two-point boundary problems for
degenerate singularly perturbed systems of differential equations// Nonlinear Oscillations. – 2010. – V.13,
¹2. – P. 272–286. (in Ukarainian)
2. Vira M.B. Two-point boundary value problem for degenerate singularly perturbed system of differential equations in case multiple spectrum of the main operator// Proceedings of IAPM NAS of Ukraine. – 2009. – V.18. – P. 19–28. (in Ukarainian) 3. Vira M.B. On the construction of an asymptotic solution two-point boundary value problem for linear singularly perturbed differential algebraic system// Dynamic systems: interdepartmental scientific compilation. — 2011. — V.1(29), ¹1. – P. 15–30. (in Ukarainian) 4. Vira M.B. On constructing of asymptotic solution of the boundary-value problem for the linear degenerated singularly perturbed system of differential equations in critical case// Proceedings of IAPM NAS of Ukraine. – 2013. – V.26. – P. 31–39. (in Russian) 5. Samoilenko A.M., Shkil M.I., Yakovets V.P. Linear differential systems degenerate equations — Kuiv: Vyshcha Schkola, 2000. — 294 p. (in Ukarainian) |
| Pages |
185-195
|
| Volume |
47
|
| Issue |
2
|
| Year |
2017
|
| Journal |
Matematychni Studii
|
| Full text of paper | |
| Table of content of issue |