THE EXISTENCE AND UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTIONSFOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

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
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Authors:

Wang Quanyi;

Foundation:

Project supported by the Natural Science Foundation of Fujian Province
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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