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Stability and boundedness of solutions of neutral functional differential equations with finite delay |
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| Authors: | Meng Fan Jiabu DishenQian Wan Ke Wang |
| Institution: | a Department of Mathematics, Key Laboratory for Vegetation Ecology of the Education Ministry of P.R. China, Northeast Normal University, 138 Renmin Street, Changchun, Jilin, 130024, People's Republic of China b The Chinese People's Armed Police Force Academy, Langfang, Hebei, 065000, People's Republic of China |
| Abstract: | Sufficient and necessary criteria are established for the uniform stability and uniformly asymptotic stability of solutions of neutral functional differential equations (NFDEs) with finite delay by using the Liapunov functional approach. We also prove that the uniformly asymptotic stability of solutions implies the existence of bounded solution. |
| Keywords: | NFDEs Stability Boundedness Liapunov functional Sufficient and necessary criteria |
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