On then-dimensional harmonic oscillator

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1979 English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 119, pages 247-258 (issn: 0373-3114, eissn: 1618-1891,

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Authors: Cheng, Sui-sun;

doi: 10.1007/bf02413180

On then-dimensional harmonic oscillator

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Abstract

In this paper, various oscillatory properties of solutions of the scalar equation x″+q(t)x=0 are extended to the vector equation u″+Q(t)u=0.

Keywords

n-dimensional harmonic oscillator, oscillatory properties of solutions, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

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