Periodic Solutions for a Class of ð ‘› -th Order Functional Differential Equations

Bing Song, Lijun Pan and Jinde Cao

International Journal of Differential Equations, 2011, vol. 2011, 1-21

Abstract:

We study the existence of periodic solutions for n -th order functional differential equations ð ‘¥ ( ð ‘› ) ∑ ( ð ‘¡ ) = ð ‘› − 1 ð ‘– = 0 ð ‘ ð ‘– [ ð ‘¥ ( ð ‘– ) ( ð ‘¡ ) ] 𠑘 + ð ‘“ ( ð ‘¥ ( ð ‘¡ − ð œ ( ð ‘¡ ) ) ) + ð ‘ ( ð ‘¡ ) . Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:916279

DOI: 10.1155/2011/916279

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