On the structure of oscillatory solutions of a third order differential equation

Miroslav Bartušek

Archivum Mathematicum (1997)

  • Volume: 033, Issue: 4, page 323-334
  • ISSN: 0044-8753

Abstract

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The aim of the paper is to study the structure of oscillatory solutions of a nonlinear third order differential equation y ' ' ' + p y ' ' + q y ' + r f ( y , y ' , y ' ' ) = 0 .

How to cite

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Bartušek, Miroslav. "On the structure of oscillatory solutions of a third order differential equation." Archivum Mathematicum 033.4 (1997): 323-334. <http://eudml.org/doc/248031>.

@article{Bartušek1997,
abstract = {The aim of the paper is to study the structure of oscillatory solutions of a nonlinear third order differential equation $y^\{\prime \prime \prime \} + py^\{\prime \prime \}+ qy^\prime + rf (y, y^\prime , y^\{\prime \prime \})=0$.},
author = {Bartušek, Miroslav},
journal = {Archivum Mathematicum},
keywords = {oscillatory solutions; structure of solutions; oscillatory solutions; structure of solutions; third-order differential equation},
language = {eng},
number = {4},
pages = {323-334},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the structure of oscillatory solutions of a third order differential equation},
url = {http://eudml.org/doc/248031},
volume = {033},
year = {1997},
}

TY - JOUR
AU - Bartušek, Miroslav
TI - On the structure of oscillatory solutions of a third order differential equation
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 4
SP - 323
EP - 334
AB - The aim of the paper is to study the structure of oscillatory solutions of a nonlinear third order differential equation $y^{\prime \prime \prime } + py^{\prime \prime }+ qy^\prime + rf (y, y^\prime , y^{\prime \prime })=0$.
LA - eng
KW - oscillatory solutions; structure of solutions; oscillatory solutions; structure of solutions; third-order differential equation
UR - http://eudml.org/doc/248031
ER -

References

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  1. Asymptotic Properties of Oscillatory Solutions of Differential Equations of the n -th Order, Folia, FSN Univ. Masaryk. Brunen., Math. 3, Masaryk Univ., Brno, 1992. MR1271586
  2. On the Structure of Solutions of a System of Three Differential Inequalities, Arch. Math. 30, No. 2 (1994), 117-130. MR1292563
  3. Oscillatory Criteria for Nonlinear Third Order Differential Equations with Quasiderivatives, Diff. Eq. and Dynam. Sys. 3, No. 3 (1995), 251-268. MR1386748
  4. Asymptotic Behaviour of Solutions of a Third-Order Nonlinear Differential Equations, Sub. for publ. 
  5. Integral Criteria for a Classification of Solutions of Linear Differential Equations, J. Diff. Eq. 99 (1992), 381-397. MR1184060
  6. Oscillation Results for Emden-Fowler Type Differential Equations, J. Math. Anal. Appl. Sub. for publ. 
  7. Ordinary Differential Equations, Boston, 1982. Zbl1009.34001MR0658490
  8. Some Oscillatory Properties of Solutions of Nonlinear Differential Equation of the Form y ' ' + p ( x ) y ' ' + q ( x ) f ( y ' ) + r ( x ) h ( y ) = 0 , Arch. Math. XI (1975), No. 3, 139-150. MR0412518
  9. Some Oscillatory Theorems for Third-Order non-Linear Differential Equations, Yokohama Math. J., 18 (1970), 77-86. MR0283300
  10. Oscillatory Criteria for Third Order Nonlinear Differential Equations, Pacif. J. Math., 18 (1966), No. 2, 385-389. MR0200531

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