The oscillation of a differential equation of second order with deviating argument
Jozef Džurina (1992)
Mathematica Slovaca
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Jozef Džurina (1992)
Mathematica Slovaca
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Blanka Baculíková (2006)
Archivum Mathematicum
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Our aim in this paper is to present criteria for oscillation of the nonlinear differential equation The obtained oscillatory criteria improve existing ones.
Said R. Grace, Bikkar S. Lalli (1984)
Czechoslovak Mathematical Journal
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Xu, Zhiting (2006)
Journal of Inequalities and Applications [electronic only]
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Grace, S.R., Lalli, B.S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Qi Gui Yang, Sui-Sun Cheng (2007)
Archivum Mathematicum
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This paper is concerned with a class of even order nonlinear differential equations of the form where is even and . By using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of existing results. Our results are more general and sharper than some previous results even for second order equations.