Displaying similar documents to “Property (A) of the n -th order differential equations with deviating argument”

Property (B) of differential equations with deviating argument

Jozef Džurina (1994)

Archivum Mathematicum

Similarity:

The aim of this paper is to deduce oscillatory and asymptotic behavior of delay differential equation L n u ( t ) - p ( t ) u ( τ ( t ) ) = 0 , from the oscillation of a set of the first order delay equations.

A comparison theorem for linear delay differential equations

Jozef Džurina (1995)

Archivum Mathematicum

Similarity:

In this paper property (A) of the linear delay differential equation L n u ( t ) + p ( t ) u ( τ ( t ) ) = 0 , is to deduce from the oscillation of a set of the first order delay differential equations.

Oscillatory and asymptotic behaviour of solutions of advanced functional equations

Jozef Džurina (1993)

Archivum Mathematicum

Similarity:

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.