Asymptotic properties of noncanonical third order differential equations

Rok, strany: 2019, 1341 - 1350

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

$$ \int^∞ ((1) / (q_i(s))) \dd{s}=∞,   i=1,2. $$

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

$$ (r₂(t)(r₁(t)y'(t))')'+p(t)y(τ(t))=0. $$

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

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava