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THE EXISTENCE AND UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTIONSFOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS |
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Citation: |
Wang Quanyi.THE EXISTENCE AND UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTIONSFOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS[J].Chinese Annals of Mathematics B,1997,18(2):233~242 |
Page view: 1021
Net amount: 715 |
Authors: |
Wang Quanyi; |
Foundation: |
Project supported by the Natural Science
Foundation of Fujian Province |
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Abstract: |
This paper deals with the problems on the existence and uniqueness and
stability of almost periodic solutions for functional differential equations
with infinite delays. The author obtains some sufficient conditions which
ganrantee the existence and
uniqueness and stability of almost periodic solutions with module containment.
The results extend all the results of the paper [1] and solve the two open
problems proposed in [1] under much weaker conditions than that proposed
in [1]. |
Keywords: |
Existence, Uniqueness, Stability, Almost periodic solution,
Functional differential equation, Infinite delay |
Classification: |
34K20 |
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