Tohoku Mathematical Journal
2002

June
SECOND SERIES VOL. 54, NO. 2

Tohoku Math. J.
54 (2002), 239-257

Title LIMITING EQUATIONS AND SOME STABILITY PROPERTIES FOR ASYMPTOTICALLY ALMOST PERIODIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

Author Yoshiyuki Hino and Satoru Murakami

(Received June 5, 2000, revised January 15, 2001)
Abstract. For asymptotically almost periodic functional differential equations with infinite delay in a Banach space, some stability properties of a bounded solution are deduced from stabilities in a certain limiting equation which is obtained by employing the Bohr topology.

2000 Mathematics Subject Classification. Primary 34K14; Secondary 34K30, 35B15, 35B35.

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