In: Mathematica Slovaca, vol. 69, no. 6
Blanka Baculíková
Details:
Year, pages: 2019, 1341 - 1350
Keywords:
canonical operator; third order differential equations; disconjugate equation
About article:
The purpose of the paper is to show that noncanonical operator
$$ \mathcal {L} y=(r2(t)(r1(t)y'(t))')' $$
can be easily written in essentially unique canonical form$$ \mathcal {L} y = q3(t)(q2(t)(q1(t)(q0(t)y(t))')')' $$
such that$$ \int∞ ((1) / (qi(s))) \dd{s}=∞, i=1,2. $$
The canonical representation is applied for examination of the third order noncanonical equations$$ (r2(t)(r1(t)y'(t))')'+p(t)y(τ(t))=0. $$
How to cite:
ISO 690:
Baculíková, B. 2019. Asymptotic properties of noncanonical third order differential equations. In Mathematica Slovaca, vol. 69, no.6, pp. 1341-1350. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0312
APA:
Baculíková, B. (2019). Asymptotic properties of noncanonical third order differential equations. Mathematica Slovaca, 69(6), 1341-1350. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0312
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 22. 12. 2019