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

Donal O'Regan

doi:10.1002/mana.200510695

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

Donal O'Regan

Mathematics

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8 Citations (Scopus)

Abstract

In this paper, we employ a well-known fixed point theorem for cones to study the existence of positive periodic solutions to the n-dimensional system x + A(t)x = H(t)G(x). Moreover, the eigenvalue intervals for x + A(t)x = lambda H (t)G(x) are easily characterized. (C) 2008 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim

Original language	English (Ireland)
Pages (from-to)	1549-1556
Number of pages	8
Journal	MATHEMATISCHE NACHRICHTEN
Volume	281
Issue number	11
DOIs	https://doi.org/10.1002/mana.200510695
Publication status	Published - 1 Aug 2008

Keywords

Eigenvalue intervals
Fixed point theorem in cones
Positive periodic solutions

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Chu, JF,Chen, H,O'Regan, D

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10.1002/mana.200510695

Cite this

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abstract = "In this paper, we employ a well-known fixed point theorem for cones to study the existence of positive periodic solutions to the n-dimensional system x + A(t)x = H(t)G(x). Moreover, the eigenvalue intervals for x + A(t)x = lambda H (t)G(x) are easily characterized. (C) 2008 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim",

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N2 - In this paper, we employ a well-known fixed point theorem for cones to study the existence of positive periodic solutions to the n-dimensional system x + A(t)x = H(t)G(x). Moreover, the eigenvalue intervals for x + A(t)x = lambda H (t)G(x) are easily characterized. (C) 2008 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim

AB - In this paper, we employ a well-known fixed point theorem for cones to study the existence of positive periodic solutions to the n-dimensional system x + A(t)x = H(t)G(x). Moreover, the eigenvalue intervals for x + A(t)x = lambda H (t)G(x) are easily characterized. (C) 2008 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim

KW - Eigenvalue intervals

KW - Fixed point theorem in cones

KW - Positive periodic solutions

UR - https://www.scopus.com/pages/publications/55649104382

U2 - 10.1002/mana.200510695

DO - 10.1002/mana.200510695

M3 - Article

VL - 281

SP - 1549

EP - 1556

JO - MATHEMATISCHE NACHRICHTEN

JF - MATHEMATISCHE NACHRICHTEN

IS - 11

ER -

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

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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