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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2009, Issue 1, Pages 16–19
(Mi uzeru244)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
On Euler type equation
S.A.Osipova, L. P. Tepoyan
Chair of Differential Equations YSU, Armenia
Abstract:
In the present paper an Euler type equation is considered and it is proved that for $\alpha\in[0,1)\big(\alpha\in(2n-1,2n]\big)$ the characteristic polynomial has $2n$ real roots.
For other values of $\alpha$ the issue concerning the number of the real roots of this polynomial is investigated.
Keywords:
Euler type equation, Hardy’s inequality, oscillation problems, characteristic polynomial.
Received: 07.05.2008
Accepted: 10.07.2008
Citation:
S.A.Osipova, L. P. Tepoyan, “On Euler type equation”, Proceedings of the YSU, Physical and Mathematical Sciences, 2009, no. 1, 16–19
Linking options:
https://www.mathnet.ru/eng/uzeru244 https://www.mathnet.ru/eng/uzeru/y2009/i1/p16
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| Statistics & downloads: |
| Abstract page: | 68 | | Full-text PDF : | 26 | | References: | 14 |
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