Oscillation of a second order delay differential equations

Jozef Džurina

Archivum Mathematicum (1997)

  • Volume: 033, Issue: 4, page 309-314
  • ISSN: 0044-8753

Abstract

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In this paper, we study the oscillatory behavior of the solutions of the delay differential equation of the form 1 r ( t ) y ' ( t ) ' + p ( t ) y ( τ ( t ) ) = 0 . The obtained results are applied to n-th order delay differential equation with quasi-derivatives of the form L n u ( t ) + p ( t ) u ( τ ( t ) ) = 0 .

How to cite

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Džurina, Jozef. "Oscillation of a second order delay differential equations." Archivum Mathematicum 033.4 (1997): 309-314. <http://eudml.org/doc/248039>.

@article{Džurina1997,
abstract = {In this paper, we study the oscillatory behavior of the solutions of the delay differential equation of the form \[ \left(\frac\{1\}\{r(t)\}y^\{\prime \}(t)\right)^\{\prime \}+p(t)y(\tau (t))= 0. \] The obtained results are applied to n-th order delay differential equation with quasi-derivatives of the form \[ L\_nu(t)+p(t)u(\tau (t))=0. \]},
author = {Džurina, Jozef},
journal = {Archivum Mathematicum},
keywords = {oscillation; quasi-derivatives; delayed argument..; oscillation; quasi-derivatives; delayed argument; property (A)},
language = {eng},
number = {4},
pages = {309-314},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Oscillation of a second order delay differential equations},
url = {http://eudml.org/doc/248039},
volume = {033},
year = {1997},
}

TY - JOUR
AU - Džurina, Jozef
TI - Oscillation of a second order delay differential equations
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 4
SP - 309
EP - 314
AB - In this paper, we study the oscillatory behavior of the solutions of the delay differential equation of the form \[ \left(\frac{1}{r(t)}y^{\prime }(t)\right)^{\prime }+p(t)y(\tau (t))= 0. \] The obtained results are applied to n-th order delay differential equation with quasi-derivatives of the form \[ L_nu(t)+p(t)u(\tau (t))=0. \]
LA - eng
KW - oscillation; quasi-derivatives; delayed argument..; oscillation; quasi-derivatives; delayed argument; property (A)
UR - http://eudml.org/doc/248039
ER -

References

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  11. Oscillation of second order delay and ordinary differential equations, Czech. Math. J. 34 (1984), 107–112. (1984) MR0731983
  12. Comparison and oscillation theory of linear differential equations, Acad. Press, New York-London, 1968. (1968) Zbl0191.09904MR0463570
  13. On certain properties of solutions of differential equations with a delay, UMŽ 24 (1972). (Ukrainian) (1972) 
  14. Asymptotic analysis of odd order ordinary differential equations, Hiroshima Math. J. 10 (1980), 391–408. (1980) Zbl0453.34033MR0577867
  15. Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math.Soc 189 (1974), 319–327. (1974) Zbl0289.34051MR0330632

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