Unified boundedness,periodicity, and stability in ordinary and functional differential equations |
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Authors: | T A Burton Shunian Zhang |
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Institution: | (1) Present address: Department of Mathematics, Southern Illinois University, 62901 Carbondale, Illinois |
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Abstract: | Summary
We discuss a unified theory of periodicity of dissipative ordinary and functional differential equations in terms of uniform boundedness. Sufficient conditions for the uniform boundedness are given by means of Liapunov functionals having a weighted norm as an upper bound. The theory is developed for ordinary differential equations, equations with bounded delay, and equations with infinite delay.On leave from Anhui University, Hefei, Anhui, People's Republic of China |
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