Oscillation criteria for second order nonlinear differential equations

Blanka Baculíková

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 2, page 141-149
  • ISSN: 0044-8753

Abstract

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Our aim in this paper is to present criteria for oscillation of the nonlinear differential equation u ' ' ( t ) + p ( t ) f ( u ( g ( t ) ) ) = 0 . The obtained oscillatory criteria improve existing ones.

How to cite

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Baculíková, Blanka. "Oscillation criteria for second order nonlinear differential equations." Archivum Mathematicum 042.2 (2006): 141-149. <http://eudml.org/doc/249792>.

@article{Baculíková2006,
abstract = {Our aim in this paper is to present criteria for oscillation of the nonlinear differential equation \[ u^\{\prime \prime \}(t)+p(t)f\big (u(g(t))\big )=0\,. \] The obtained oscillatory criteria improve existing ones.},
author = {Baculíková, Blanka},
journal = {Archivum Mathematicum},
keywords = {Oscillatory solution; oscillatory solution},
language = {eng},
number = {2},
pages = {141-149},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Oscillation criteria for second order nonlinear differential equations},
url = {http://eudml.org/doc/249792},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Baculíková, Blanka
TI - Oscillation criteria for second order nonlinear differential equations
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 2
SP - 141
EP - 149
AB - Our aim in this paper is to present criteria for oscillation of the nonlinear differential equation \[ u^{\prime \prime }(t)+p(t)f\big (u(g(t))\big )=0\,. \] The obtained oscillatory criteria improve existing ones.
LA - eng
KW - Oscillatory solution; oscillatory solution
UR - http://eudml.org/doc/249792
ER -

References

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  12. Yan J., Oscillation theorems for second order linear differential equations with damping, Proc. Amer. Math. Soc. 98 (1986), 276–282. (1986) Zbl0622.34027MR0854033
  13. Agarwal R., Grace S. R., O’Regan D., Oscillation theory for second order dynamic equations, Taylor & Francis, 2003. Zbl1043.34032MR1965832
  14. Kirane M., Rogovchenko, Yu. V., On oscillation of nonlinear second order differential equation with damping term, Appl. Math. Comput. 117 (2001), 177–192. (192.) MR1806045
  15. Shaker S. H., Oscillation criteria of hyperbolic equations with deviating argument, Publ. Math. Debrecen, (2003), 165–185. MR1956808

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