# Oscillatory behavior of iterative linear ordinary differential equations depends on their order

Archivum Mathematicum (1986)

- Volume: 022, Issue: 4, page 187-192
- ISSN: 0044-8753

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topNeuman, František. "Oscillatory behavior of iterative linear ordinary differential equations depends on their order." Archivum Mathematicum 022.4 (1986): 187-192. <http://eudml.org/doc/18195>.

@article{Neuman1986,

author = {Neuman, František},

journal = {Archivum Mathematicum},

keywords = {iterative differential equations; disconjugacy; linear homogeneous differential equation; second order equation},

language = {eng},

number = {4},

pages = {187-192},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Oscillatory behavior of iterative linear ordinary differential equations depends on their order},

url = {http://eudml.org/doc/18195},

volume = {022},

year = {1986},

}

TY - JOUR

AU - Neuman, František

TI - Oscillatory behavior of iterative linear ordinary differential equations depends on their order

JO - Archivum Mathematicum

PY - 1986

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 022

IS - 4

SP - 187

EP - 192

LA - eng

KW - iterative differential equations; disconjugacy; linear homogeneous differential equation; second order equation

UR - http://eudml.org/doc/18195

ER -

## References

top- O. Borůvka, Linear Differential Transformations of the Second Order, The English Univ. Pгess, London 1971. (1971) MR0463539
- P. Haгtman, On differential eąuations and the functions ${J}_{\mu}^{2}+{Y}_{\mu}^{2}$, Amer. J. Math. 83 (1961), 154-188. (1961)
- Z. Hustý, Die Iteration homogener linearen Differentialgleichungen, Publ. Fac. Sci. Univ. J. E. Puгkyně (Bгno) 449 (1964), 23-56. (1964) MR0196166
- F. Neuman, Geometrical approach to linear differential equations of the n-th order, Rend. Mat. 5 (1972), 579-602. (1972) Zbl0257.34029MR0324141
- V. Šeda, On a class of linear differential equations of order n, $n\ge 3$, Časopis Pěst. Mat. 92 (1967), 247-261. (1967) MR0222390
- J. Vosmanský, Monotonic properties of zeros and extremants of the differential equation y'' + q(t)y = 0, Arch. Math. (Brno) 6 (1970), 37-73. (1970) Zbl0239.34014MR0296420

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