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

Chu, Jifeng; Chen, Hao; O’Regan, Donal

doi:10.1002/mana.200510695

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

Published in Mathematische Nachrichten • Oct 10, 2008

Authors:

Jifeng Chu

Hao Chen

Donal O’Regan

Abstract

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 = λH (t)G (x) are easily characterized. (© 2008 WILEY‐VCH Ver...

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Mathematics

Eigenvalues and eigenvectors

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