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Uniform Boundedness by Averaging |
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| Authors: | TA Burton B Zhang |
| Institution: | (1) Northwest Research Institute, 732 Caroline Street, Port Angeles, WA 98362, USA;(2) Department of Mathematics and Computer Science, Fayetteville State University Fayetteville, NC 28301, USA |
| Abstract: | We consider a system of functional difierential equations with infinite delay and derive conditions on Liapunov functionals to ensure that solutions are uniformly bounded and uniformly ultimately bounded. The analysis is based on the method of finding a bound on the average values of unknown solutions and Jensen's inequality. Comparisons between our theorems and those existing in the literature are also given. |
| Keywords: | functional differential equations Liapunov functionals boundedness by averaging |
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