Oscillation criteria in neutral equations of -order with variable coefficients.
Georgiou, D.A., Qian, C. (1991)
International Journal of Mathematics and Mathematical Sciences
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Georgiou, D.A., Qian, C. (1991)
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.
Liu, Xinzhi, Fu, Xilin (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Ján Regenda (1983)
Mathematica Slovaca
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Radhanath N. Rath, Niyati Misra (2004)
Mathematica Slovaca
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Jozef Džurina (2002)
Czechoslovak Mathematical Journal
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The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equation to be oscillatory and to improve some existing results. The main results are based on the comparison principles.