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.
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)