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Positive periodic solutions and eigenvalue intervals for systems of second order differential equations

โœ Scribed by Jifeng Chu; Hao Chen; Donal O'Regan

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
117 KB
Volume
281
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

In this paper, we employ a wellโ€known fixed point theorem for cones to study the existence of positive periodic solutions to the n โ€dimensional system x โ€ณ + A (t)x = H (t)G (x). Moreover, the eigenvalue intervals for x โ€ณ + A (t)x = ฮปH (t)G (x) are easily characterized. (ยฉ 2008 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

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