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Existence of homoclinic solutions for a class of neutral functional differential equations

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Abstract

By means of Mawhin’s continuation theorem and some analysis methods, the existence of 2kT-periodic solutions is studied for a class of neutral functional differential equations, and then a homoclinic solution is obtained as a limit of a certain subsequence of the above periodic solutions set.

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Authors and Affiliations

  1. College of Mathematics and Physics, Nanjing University of Information Science & Technology, Nanjing, 210044, P. R. China

    Shi Ping Lu

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  1. Shi Ping Lu
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Correspondence to Shi Ping Lu.

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Supported by the key NSF of Education Ministry of China (Grant No. 207047)

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Lu, S.P. Existence of homoclinic solutions for a class of neutral functional differential equations. Acta. Math. Sin.-English Ser. 28, 1261–1274 (2012). https://doi.org/10.1007/s10114-011-9259-8

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  • DOI: https://doi.org/10.1007/s10114-011-9259-8

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