Periodic Solutions of Linear Neutral Functional Differential Equations with Infinite Delay
Received:March 28, 2005  Revised:July 02, 2006
Key Words: linear neutral functional differential equation   infinite delay   bounded solution   periodic solution   necessary and sufficient condition.  
Fund Project:the National Natural Science Foundation of China (10171010; 10201005)
Author NameAffiliation
WEI Feng-ying College of Math. \& Computer Sci., Fuzhou University, Fujian 350002, China 
WANG Ke School of Math. \& Statistics, Northeast Normal University, Jilin 130024, China 
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Abstract:
      In this paper, we chose space $C_g$ as phase space. It had been proved that for linear neutral functional differential equations of $D$-operator type with infinite delay, there was a periodic solution if and only if there was a bounded solution. Our results were different from the ones given in Acta Mathematica Sinica, 4(2000)695-702.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.01.010
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