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Stability of Almost Periodic Solutions of an Autonomous Equation

Published online by Cambridge University Press:  20 November 2018

K. W. Chang
K. W. Chang*
Affiliation:
Dept. of Mathematics, University of Calgary, Calgary, Alberta, Canada
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The purpose of this paper is to extend to almost periodic (a.p.) solutions a stability result on the periodic solutions of the autonomous equation

x′ = F(x),

(cf. Coppel [1], p. 82 or Coddington and Levinson [2], p. 323.)

Keywords

34C25almost periodic solutionsautonomous equationstability
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 5 , 01 December 1975 , pp. 639 - 641
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Coppel, W. A., Stability and asymptotic behavior of differential equations, D. C. Heath and Company, Boston, 1965.Google Scholar
2. Coddington, E. A. and Levinson, N., Theory of ordinary differential equations, McGraw-Hill, New York, 1955.Google Scholar
3. Amerio, L. and Prouse, G., Almost-periodic functions and functional equations, Van Nostrand Reinhold Co., New York, 1971.Google Scholar