On some possible extensions of Massera's theorem
In this paper we consider ordinary and functional differential equations with $T$-periodic right hand side and look at some conjectures on proving the existence of a periodic solution. One of the ''best'' conditions to obtain a periodic solution is the existence of a bounded solu...
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| Format: | Article |
| Language: | English |
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University of Szeged
2000-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=60 |
| Summary: | In this paper we consider ordinary and functional differential equations with $T$-periodic right hand side and look at some conjectures on proving the existence of a periodic solution. One of the ''best'' conditions to obtain a periodic solution is the existence of a bounded solution, because it would be then not only a sufficient but also a neccessary condition. We take one step in the direction to prove this conjecture. |
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| ISSN: | 1417-3875 |