# Oscillation criteria for second order nonlinear differential equations

Archivum Mathematicum (2006)

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

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topBaculíková, 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

top- Kiguradze I. T., On the oscillation of solutions of the equation ${d}^{m}u/d{t}^{m}+a\left(t\right){\left|u\right|}^{n}sign\phantom{\rule{0.166667em}{0ex}}u=0$, Mat. Sb. 65 (1964), 172–187. (Russian) (1964) Zbl0135.14302MR0173060
- Džurina J., The oscillation of a differential equation of second order with deviating argument, Math. Slovaca 42, No. 3 (1992), 317–324. (1992) Zbl0756.34069MR1182961
- Ladde G. S., Lakshmikhantam V., Zhang B. G., Oscillation theory of differential equations with deviating arguments, Dekker, New York, 1987. (1987) MR1017244
- Džurina J., Comparison theorems for nonlinear ODEs, Math. Slovaca 42, No. 3 (1992), 299–315. (1992) MR1182960
- Džurina J., Oscillation of a second order delay differential equations, Arch. Math. (Brno) 33, No. 4 (1997), 309–314. (1997) MR1601333
- Kiguradze I. T., Chanturia T. A., Asymtotic properties of solutions of nonautonomous ordinary differential equations, Nauka, Moscow, 1990. (1990)
- Grace S. R., Oscillation theorems for nonlinear differential equations of second order, J. Math. Anal. Appl. 171 (1992), 220–241. (1992) Zbl0767.34017MR1192503
- Philos, Ch. G., Oscillation theorems for linear differential equations of second order, Arch. Math. (Basel) 53(5) (1989), 482–492. (1989) Zbl0661.34030MR1019162
- Rogovchenko, Yu. V., Oscillation theorems for second order equations with damping, Nonlinear Anal. (1999). (1999) MR1764033
- Rogovchenko, Yu. V., Oscillation criteria for second order nonlinear perturbed differential equations, J. Math. Anal. Appl. 215 (1997), 334–357. (1997) Zbl0892.34031MR1490755
- Rogovchenko, Yu. V., Oscillation criteria for certain nonlinear differential equations, J. Math. Anal. Appl. 229 (1999), 399–416. (1999) Zbl0921.34034MR1666412
- Yan J., Oscillation theorems for second order linear differential equations with damping, Proc. Amer. Math. Soc. 98 (1986), 276–282. (1986) Zbl0622.34027MR0854033
- Agarwal R., Grace S. R., O’Regan D., Oscillation theory for second order dynamic equations, Taylor & Francis, 2003. Zbl1043.34032MR1965832
- 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
- Shaker S. H., Oscillation criteria of hyperbolic equations with deviating argument, Publ. Math. Debrecen, (2003), 165–185. MR1956808

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