Asymptotic estimate of solution to the Cauchy problem for a singular perturbed linear system of differential equations with degenerations and impulses. (Ukrainian. English summary) Zbl 1097.34535
Summary: An asymptotic estimate on the solution to the Cauchy problem for a singular perturbed linear system of differential equations with degenerations and impulses at fixed moments of time is proposed.
MSC:
| 34E05 | Asymptotic expansions of solutions to ordinary differential equations |
| 34E15 | Singular perturbations for ordinary differential equations |
| 34A37 | Ordinary differential equations with impulses |
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |
| 34A30 | Linear ordinary differential equations and systems |
