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Oscillations of certain functional differential equations

Said R. Grace (1999)

Czechoslovak Mathematical Journal

Sufficient conditions are presented for all bounded solutions of the linear system of delay differential equations ( - 1 ) m + 1 d m y i ( t ) d t m + j = 1 n q i j y j ( t - h j j ) = 0 , m 1 , i = 1 , 2 , ... , n , to be oscillatory, where q i j ε ( - , ) , h j j ( 0 , ) , i , j = 1 , 2 , ... , n . Also, we study the oscillatory behavior of all bounded solutions of the linear system of neutral differential equations ( - 1 ) m + 1 d m d t m ( y i ( t ) + c y i ( t - g ) ) + j = 1 n q i j y j ( t - h ) = 0 , where c , g and h are real constants and i = 1 , 2 , ... , n .

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.

Oscillations of neutral differential systems

Bozena Mihalíková (1999)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

The aim of this paper is to present the sufficient conditions for oscillation of solutions of the system of differential equations of neutral type.

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