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HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS 被引量:2

HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS
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摘要 By means of an extension of Mawhin's continuation theorem and some analysis methods, the existence of a set with 2kT-periodic solutions for a class of second order neutral functional differential systems is studied, and then the homoclinic solutions are obtained as the limit points of a certain subsequence of the above set. By means of an extension of Mawhin's continuation theorem and some analysis methods, the existence of a set with 2kT-periodic solutions for a class of second order neutral functional differential systems is studied, and then the homoclinic solutions are obtained as the limit points of a certain subsequence of the above set.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2013年第5期1361-1374,共14页 数学物理学报(B辑英文版)
基金 sponsored by the National Natural Science Foundation of China(11271197) the Science and Technology Foundation in Ministry of Education of China(207047) the Science Foundation of NUIST of China(20090202 and 2012r101)
关键词 homoclinic solution periodic solution neutral functional differential system Mawhin's continuation theorem homoclinic solution periodic solution neutral functional differential system Mawhin's continuation theorem
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