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Asymptotic properties of noncanonical third order differential equations

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Veröffentlicht/Copyright: 22. Dezember 2019
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Abstract

The purpose of the paper is to show that noncanonical operator

Ly=r2(t)r1(t)y(t)

can be easily written in essentially unique canonical form

Ly=q3(t)q2(t)q1(t)q0(t)y(t)

such that

1qi(s)ds=,i=1,2.

The canonical representation is applied for examination of the third order noncanonical equations

r2(t)r1(t)y(t)+p(t)y(τ(t))=0.
MSC 2010: 34L99; 34C10

The research supported by S.G.A. KEGA 035-TUKE-4/2017.


  1. Communicated by Michal Fečkan

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Received: 2019-01-17
Accepted: 2019-05-26
Published Online: 2019-12-22
Published in Print: 2019-12-18

© 2019 Mathematical Institute Slovak Academy of Sciences

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