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We gave the calculate formula for characteristic multiplier of Hill's equation x" + q(t)x = 0 in case q(t) > 0 and q(t) < 0 in the papers of Shi et al. [The calculation for characteristic multiplier of Hill's equation, Appl. Math. Comput. 159 (2004) 57-77] and Shi et al. [The calculation for characteristic multiplier of Hill's equation in case q(t) < 0, 167 (2005) 1130-1149], respectively. In this paper, we give the calculate formula for characteristic multiplier of Hill's equation in case q(t) alternate signs and integral(pi)(0) q(t) dt > 0. (C) 2007 Elsevier Ltd. All rights reserved.
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NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN: 1468-1218
Year: 2008
Issue: 3
Volume: 9
Page: 949-962
1 . 7 7 8
JCR@2008
1 . 8 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 2
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