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Periodic solutions of quasilinear autonomous systems which have first integrals

✍ Scribed by Iu.A. Arkhangel'skii


Publisher
Elsevier Science
Year
1963
Tongue
English
Weight
318 KB
Volume
27
Category
Article
ISSN
0021-8928

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Periodic solutions of first-order autono
✍ M. Bayat; B. Mehri πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 147 KB

In this paper, using topological degree and linear algebra techniques, we prove that a certain class of quasi-linear systems of differential equations of the form αΊ‹ = Ax + ΞΌf (x, ΞΌ) has at least one periodic solution, where ΞΌ is a small parameter and A is a constant n Γ— n matrix. If ΞΌ is bounded awa