Contractivity and Exponential Stability of Solutions to Nonlinear Neutral Functional Differential Equations in Banach Spaces  

作　　者：Wan-sheng WANG Shou-fuLI Run-sheng YANG 

机构地区：[1]School of Mathematics and Computational Science, Changsha University of Science ＆ Technology, Yuntang Campus, Changsha 410114, China [2]School of Mathematics and Computational Sciences, Xiangtan University, Xiangtan 411105, China

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第2期289-304,共16页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 11001033);Natural Science Foundation of Hunan Province (No. 10JJ4003);the Open Fund Project of Key Research Institute of Philosophies and Social Sciences in Hunan Universities;the Major Foundation of Educational Committee of Hunan Province(No. 09A002 [2009]);the Scientific Innovation Foundation for the Electric Power Youth of Chinese Society for Electrical Engineering;the Science and Technology Planning Project of Hunan Province (No. 2010SK3026)

摘　　要：A series of eontractivity and exponential stability results for the solutions to nonlinear neutral functional differential equations （NFDEs） in Banach spaces are obtained, which provide unified theoretical foundation for the contractivity analysis of solutions to nonlinear problems in functional differential equations （FDEs）, neutral delay differential equations （NDDEs） and NFDEs of other types which appear in practice.A series of eontractivity and exponential stability results for the solutions to nonlinear neutral functional differential equations （NFDEs） in Banach spaces are obtained, which provide unified theoretical foundation for the contractivity analysis of solutions to nonlinear problems in functional differential equations （FDEs）, neutral delay differential equations （NDDEs） and NFDEs of other types which appear in practice.

关 键 词：nonlinear neutral functional differential equations CONTRACTIVITY exponential stability~ Banachspaces 

分 类 号：O177.91[理学—数学] O177.2[理学—基础数学]