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

Chu Jifeng | Zendy; Chen Hao | Zendy; O'Regan Donal | Zendy

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

Author(s) -

Chu Jifeng,

Chen Hao,

O'Regan Donal

Publication year - 2008

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200510695

Subject(s) - mathematics , eigenvalues and eigenvectors , order (exchange) , fixed point theorem , cone (formal languages) , differential equation , mathematical analysis , comparison theorem , interval (graph theory) , fixed point , pure mathematics , combinatorics , physics , quantum mechanics , algorithm , finance , economics

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 Verlag GmbH & Co. KGaA, Weinheim)

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