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Oscillations of higher order differential equations of neutral type

N. Parhi (2000)

Czechoslovak Mathematical Journal

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.

Oscillatory and asymptotic behaviour of solutions of advanced functional equations

Jozef Džurina (1993)

Archivum Mathematicum

In this paper we compare the asymptotic behaviour of the advanced functional equation L n u ( t ) - F ( t , u [ g ( t ) ] ) = 0 with the asymptotic behaviour of the set of ordinary functional equations α i u ( t ) - F ( t , u ( t ) ) = 0 . On the basis of this comparison principle the sufficient conditions for property (B) of equation (*) are deduced.

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