Oscillation criteria for high order delay partial differential equations.
Liu, Xinzhi, Fu, Xilin (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Liu, Xinzhi, Fu, Xilin (1998)
Journal of Applied Mathematics and Stochastic Analysis
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N. Parhi (2000)
Czechoslovak Mathematical Journal
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In this paper, sufficient conditions have been obtained for oscillation of solutions of a class of th order linear neutral delay-differential equations. Some of these results have been used to study oscillatory behaviour of solutions of a class of boundary value problems for neutral hyperbolic partial differential equations.
Satoshi Tanaka, Norio Yoshida (2005)
Annales Polonici Mathematici
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Certain hyperbolic equations with continuous distributed deviating arguments are studied, and sufficient conditions are obtained for every solution of some boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities by using some integral means of solutions.
Jozef Džurina (2004)
Mathematica Slovaca
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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.