Contractivity and exponential stability of solutions to nonlinear neutral functional differential equations in banach spaces |
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| Authors: | Wan-sheng Wang Shou-fu Li Run-sheng Yang |
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| Affiliation: | 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
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| Abstract: | A series of contractivity 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. |
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| Keywords: | nonlinear neutral functional differential equations contractivity exponential stability Banach spaces |
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