Asymptotic behavior of solutions of third order delay differential equations

Mariella Cecchi; Zuzana Došlá

Archivum Mathematicum (1997)

  • Volume: 033, Issue: 1-2, page 99-108
  • ISSN: 0044-8753

Abstract

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We give an equivalence criterion on property A and property B for delay third order linear differential equations. We also give comparison results on properties A and B between linear and nonlinear equations, whereby we only suppose that nonlinearity has superlinear growth near infinity.

How to cite

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Cecchi, Mariella, and Došlá, Zuzana. "Asymptotic behavior of solutions of third order delay differential equations." Archivum Mathematicum 033.1-2 (1997): 99-108. <http://eudml.org/doc/248028>.

@article{Cecchi1997,
abstract = {We give an equivalence criterion on property A and property B for delay third order linear differential equations. We also give comparison results on properties A and B between linear and nonlinear equations, whereby we only suppose that nonlinearity has superlinear growth near infinity.},
author = {Cecchi, Mariella, Došlá, Zuzana},
journal = {Archivum Mathematicum},
keywords = {delay differential equation of third order; asymptotic properties of nonoscillatory solutions; properties A and B; comparison theorems; third-order delay differential equations; asymptotic properties; oscillatory properties; property A and B; comparison theorems},
language = {eng},
number = {1-2},
pages = {99-108},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic behavior of solutions of third order delay differential equations},
url = {http://eudml.org/doc/248028},
volume = {033},
year = {1997},
}

TY - JOUR
AU - Cecchi, Mariella
AU - Došlá, Zuzana
TI - Asymptotic behavior of solutions of third order delay differential equations
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 1-2
SP - 99
EP - 108
AB - We give an equivalence criterion on property A and property B for delay third order linear differential equations. We also give comparison results on properties A and B between linear and nonlinear equations, whereby we only suppose that nonlinearity has superlinear growth near infinity.
LA - eng
KW - delay differential equation of third order; asymptotic properties of nonoscillatory solutions; properties A and B; comparison theorems; third-order delay differential equations; asymptotic properties; oscillatory properties; property A and B; comparison theorems
UR - http://eudml.org/doc/248028
ER -

References

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  1. On the qualitative behavior of solutions of third order differential equations, J. Math. Anal. Appl 197 (1996), 749–766. (1996) MR1373077
  2. Comparison theorems for third order differential equations, Proceeding of Dynamic Systems and Applications, Vol.2 (1996), 99–106. (1996) MR1419517
  3. An equivalence theorem on properties A, B for thir order differential equations, to appear in Annali Mat. Pura Appl.. MR1625588
  4. On nonlinear oscillations for equations associated to disconjugate operators, Proceeding of WCNA’96, Athens (1996). (1996) 
  5. Oscillation results for Emden–Fowler type differential equations, to appear in JMAA. 
  6. Asymptotic properties of n - th order differential equations with delayed argument, Math. Nachr. 171 (1995), 149–156. (1995) MR1316355
  7. Oscillation and asymptotic behavior of solutions of third order differential delay equations, SIAM J. Math. Anal. 7 (1976), 491–499. (1976) Zbl0356.34086MR0433001
  8. Asymptotic properties of solutions of nonautonomous ordinary differential equations, Kluwer Academic Publishers, Dordrecht-Boston-London (1993). (1993) MR1220223
  9. On oscillatory properties of solutions of functional differential equations, Memoirs on Differential Eqs. and Math. Phys. 3 (1994). (1994) Zbl0843.34070MR1375838
  10. Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 3 A (1981), 509–532. (1981) MR0620288
  11. Comparison theorems for delay differential equations, Pac. J. Math. 83 (1979), 187–197. (1979) Zbl0441.34053MR0555047
  12. Oscillatory and asymptotic behavior of second and third order retarded differential equations, Czech. Math. J. 32 (107) (1982), 169–182. (1982) MR0654054
  13. Some results on the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments, J. Austral. Math. Soc. 32 (1982), . (1982) MR0652407

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