Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 268, Issue 2, Pages 615-628Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1006/jmaa.2001.7835
Keywords
functional differential equations; Lyapunov functionals; equiasymptotic stability
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A system of functional differential equations with delay dz/dt = Z(t, z(t)), where Z is the vector-valued functional is considered. It is supposed that this system has a zero solution z = 0. Definitions of its partial stability, partial asymptotical stability, and partial equiasymptotical stability are given. Theorems on the partial equiasymptotical stability are formulated and proved. (C) 2002 Elsevier Science (USA).
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