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Strongly increasing solutions of higher-order quasilinear ordinary differential equations

In: Mathematica Slovaca, vol. 70, no. 2
Manabu Naito - Hiroyuki Usami

Details:

Year, pages: 2020, 361 - 388
Keywords:
strongly increasing solutions, quasilinear equations
About article:
In this paper we discuss the existence and asymptotic behavior of strongly increasing solutions of quasilinear ordinary differential equations of the form \begin{equation*} D(αn, αn-1, …, α1)x = p(t)|x|β\sgn x,   t ≥ a. \eqno{(1.1)} \end{equation*} It will be shown that there is an explicit difference between the cases $α1α2…αn ≥ β$ and $α1α2…αn < β$ for the structure of the totality of strongly increasing solutions of $(1.1)$.
How to cite:
ISO 690:
Naito, M., Usami, H. 2020. Strongly increasing solutions of higher-order quasilinear ordinary differential equations. In Mathematica Slovaca, vol. 70, no.2, pp. 361-388. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0357

APA:
Naito, M., Usami, H. (2020). Strongly increasing solutions of higher-order quasilinear ordinary differential equations. Mathematica Slovaca, 70(2), 361-388. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0357
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 10. 3. 2020