An oscillation criterion for a canonical form of third order linear differential equations

Václav Tryhuk

Archivum Mathematicum (1977)

  • Volume: 013, Issue: 3, page 175-180
  • ISSN: 0044-8753

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Tryhuk, Václav. "An oscillation criterion for a canonical form of third order linear differential equations." Archivum Mathematicum 013.3 (1977): 175-180. <http://eudml.org/doc/17951>.

@article{Tryhuk1977,
author = {Tryhuk, Václav},
journal = {Archivum Mathematicum},
language = {eng},
number = {3},
pages = {175-180},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {An oscillation criterion for a canonical form of third order linear differential equations},
url = {http://eudml.org/doc/17951},
volume = {013},
year = {1977},
}

TY - JOUR
AU - Tryhuk, Václav
TI - An oscillation criterion for a canonical form of third order linear differential equations
JO - Archivum Mathematicum
PY - 1977
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 013
IS - 3
SP - 175
EP - 180
LA - eng
UR - http://eudml.org/doc/17951
ER -

References

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  1. Greguš M., Oszillatorische Eigenschaften der Lösungen der linear Differentialgleichungen dritter Ordnung y ' ' ' + 2 A y ' + ( A ' + b ) y = 0 , wo A = A ( x ) ≤ 0 ist, Czech. Math. J., 9 (84) (1959), 416-428. (1959) MR0111888
  2. Greguš M., Über einige Eigenschaften der Lösungen der Differentialgleichungen y ' " + 2 A y ' + ( A ' + b ) y = 0 , A ≤ 0 , Czech. Math. J., 11 (86) (1961), 106-114. (1961) MR0131028
  3. |3] Hanan M., Oscillation criteria for third-order linear differential equation, Pacif. J. Math., 11 (1961), 914-944. (1961) MR0145160
  4. Lazer A. C, The behavior of solutions of the differential equation y ' ' ' + p ( x ) y ' + q ( x ) y = 0 , Pacif. J. Math., 17 (1966), 435-465. (1966) Zbl0143.31501MR0193332
  5. Moravský L., Einige oszillatorische und asymptotische Eigenschaften der Lösungen der Differentialgleichung y ' ' ' + p ( x ) y " + 2 A ( x ) y ' + ( A ' ( x ) + b ( x ) ) y = 0 , Acta F. R. N. Univ. Comen.-Mathematica, 16 (1967). (1967) MR0240390
  6. Neuman F., Geometrical approach to linear differential equations of the n-th order, Rend. di Matem., 5 (1972), 579-602, (1972) Zbl0257.34029MR0324141
  7. Neuman F., Oscillation in linear differential equations, Proceedings of Equadiff III, Brno 1972, 119-125. (1972) MR0350114
  8. Regenda J., On some properties of third-order linear differential equation, Math. Slov., 26 (1976), 3-18. (1976) Zbl0351.34020MR0427742
  9. Singh Y. P., Some oscillation theorems for third order non-linear differential equations, The Yokohama Math. J., 18 (1970), 77-86. (1970) Zbl0216.36901MR0283300
  10. Singh Y. P., The asymptotic behavior of solutions of linear third order differential equations, Proceedings of the American Math. Society, 20 (1969), 309-314. (1969) Zbl0179.40503MR0237885
  11. Tryhuk V., An oscillation criterion for third order linear differential equations, Arch. Math. Brno, 11 (1975), 99-104. (1975) MR0412523
  12. Zlámal M., Asymptotic properties of the solutions of the third order differential equations, Publ. Fac. Sci. Univ. Masaryk, 329 (1951), 159-167. (1951) MR0057412

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