Total stability in abstract functional differential equations with infinite delay

Y. Hino, Chiba University, Chiba, Japan
S. Murakami, Okayama University of Science, Okayama, Japan

E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 13. (2000), pp. 1-9.

Abstract: For functional differential equations with infinite delay in a Banach space, an equivalent relationship between the BC-total stability and the $\rho$-total stability is investigated, and a result due to Murakami and Yoshizawa on functional differential equations in a finite dimensional space is extended to the one on functional differential equations in a general Banach space.

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