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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2000; 37(5): 657-664

Printed September 1, 2000

Copyright © The Korean Mathematical Society.

Criteria for a new concept of stability

V. Lakshmikantham

Florida Institute of Technology

Abstract

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A new concept of stability that includes Lyapunov and orbital stabilities and leads to concepts in between them is discussed in terms of a given topology of the function space. The criteria for such new concepts to hold are investigated employing suitably Lyapunov-like functions and the comparison principle.

Keywords: a new concept of stability, criteria of stability

MSC numbers: 34D20, 34D30, 34D99

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