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

Authors
Lu, Shi Ping
Citation
Lu, Shi Ping, Existence of homoclinic solutions for a class of neutral functional differential equations, Acta mathematica Sinica. English series (Print) , 28(6), 2012, pp. 1261-1274
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
28
Issue
6
Year of publication
2012
Pages
1261 - 1274
Database
ACNP
SICI code
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