Existence of periodic solutions for the Lotka-Volterra type systems |
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| Authors: | Norimichi Hirano |
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| Institution: | a Department of Mathematics, Graduate School of Environment and Information Sciences, Yokohama National University, Tokiwadai, Hodogayaku, Yokohama, Japan
b Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, PL-87-100 Toruń, Poland |
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| Abstract: | In this paper we prove the existence of nonstationary periodic solutions of delay Lotka-Volterra equations. In the proofs we use the S1-degree due to Dylawerski et al. G. Dylawerski, K. Geba, J. Jodel, W. Marzantowicz, An S1-equivariant degree and the Fuller index, Ann. Polon. Math. 63 (1991) 243-280]. |
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| Keywords: | primary P34C25 secondary 34L30 |
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