Local dynamics of an equation with two large different-order delays
- Authors: Kashchenko I.S.1
-
Affiliations:
- Yaroslavl State University
- Issue: Vol 94, No 2 (2016)
- Pages: 578-582
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224399
- DOI: https://doi.org/10.1134/S106456241605029X
- ID: 224399
Cite item
Abstract
The behavior of solutions near an equilibrium of differential equations with two large different-order delays is studied. In critical cases, special equations (namely, quasi-normal forms) determining the dynamics of the original problem are constructed. As a rule, they have the form of nonlinear parabolic equations with two spatial variables. Asymptotic formulas are derived showing the relation between the solutions of a quasi-normal form and the original equation. The case of a small coefficient multiplying the term with a larger delay is studied separately.
About the authors
I. S. Kashchenko
Yaroslavl State University
Author for correspondence.
Email: iliyask@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000