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Periodic perturbations of a class of resonant problems

✍ Scribed by A. Cañada; D. Ruiz


Publisher
Springer
Year
2005
Tongue
English
Weight
156 KB
Volume
23
Category
Article
ISSN
0944-2669

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✍ Mikhail Kamenskii; Oleg Makarenkov; Paolo Nistri 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 274 KB

## Abstract The paper deals with a __T__ ‐periodically perturbed autonomous system in ℝ^__n__^ of the form with __ε__ > 0 small. The main goal of the paper is to provide conditions ensuring the existence of __T__ ‐periodic solutions to (PS) belonging to a given open set __W__ ⊂ __C__ ([0, __T__ ]