Method of Guiding Functions for Existence Problems for Periodic Solutions of Differential Equations
- Authors: Zvyagin V.G.1, Kornev S.V.2
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Affiliations:
- Voronezh State University
- Voronezh State Pedagogical University
- Issue: Vol 233, No 4 (2018)
- Pages: 578-601
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241593
- DOI: https://doi.org/10.1007/s10958-018-3944-4
- ID: 241593
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Abstract
We provide a review and systematic explanation of various generalizations of the guiding function method. The current state of the said method and its applications to various kinds of problems for nonlinear periodic systems described by differential and functional differential equations are considered.
About the authors
V. G. Zvyagin
Voronezh State University
Author for correspondence.
Email: zvg@math.vsu.ru
Russian Federation, Voronezh
S. V. Kornev
Voronezh State Pedagogical University
Email: zvg@math.vsu.ru
Russian Federation, Voronezh