On the Components of Extremal Solutions of Second Order Systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1977 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 8, pages 16-23 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Ahmad, Shair; Lazer, Alan C.;

doi: 10.1137/0508002

On the Components of Extremal Solutions of Second Order Systems

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Abstract

Sign properties of components of extremal solutions of the linear system \[ x'' + A(t)x = 0, \] where $A(t)$ is a continuous $n \times n$ matrix, are investigated. For most of the considerations, $A(t)$ is assumed to be symmetric. The proofs are based on variational arguments.

Keywords

Linear ordinary differential equations and systems, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

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