ON EULER TYPE EQUATION

S. A. Osipova; L. P. Tepoyan

doi:10.46991/PYSU:A/2009.43.1.016

ON EULER TYPE EQUATION

Authors

S. A. Osipova Chair of Differential Equations, YSU, Armenia
L. P. Tepoyan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2009.43.1.016

Keywords:

Euler type equation, Hardy’s inequality, oscillation problems, characteristic polynomial

Abstract

In the present paper an Euler type equation is considered and it is proved that for $\alpha\in[0,1](\alpha\in(2n-1, 2n])$ 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.

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Published

2009-02-19

How to Cite

Osipova, S. A., & Tepoyan, L. P. (2009). ON EULER TYPE EQUATION. Proceedings of the YSU A: Physical and Mathematical Sciences, 43(1 (218), 16–19. https://doi.org/10.46991/PYSU:A/2009.43.1.016