Displaying similar documents to “A comparison theorem for linear delay differential equations”

Property (B) of differential equations with deviating argument

Jozef Džurina (1994)

Archivum Mathematicum

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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.

Oscillation of a second order delay differential equations

Jozef Džurina (1997)

Archivum Mathematicum

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In this paper, we study the oscillatory behavior of the solutions of the delay differential equation of the form 1 r ( t ) y ' ( t ) ' + p ( t ) y ( τ ( t ) ) = 0 . The obtained results are applied to n-th order delay differential equation with quasi-derivatives of the form L n u ( t ) + p ( t ) u ( τ ( t ) ) = 0 .