Displaying similar documents to “Oscillation criteria for nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments.”

Oscillations of higher order differential equations of neutral type

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 n 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.

Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments

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.

Oscillation theorems for certain even order neutral differential equations

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 d d t | x ( t ) + p ( t ) x ( τ ( t ) ) ( n - 1 ) | α - 1 ( x ( t ) + p ( t ) x ( τ ( t ) ) ) ( n - 1 ) + F ( t , x ( g ( t ) ) ) = 0 , where n is even and t ≥ t 0 . 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.