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Asymptotic behaviour of oscillatory solutions of n -th order differential equations with quasiderivatives

Miroslav Bartušek (1997)

Czechoslovak Mathematical Journal

Sufficient conditions are given under which the sequence of the absolute values of all local extremes of y [ i ] , i { 0 , 1 , , n - 2 } of solutions of a differential equation with quasiderivatives y [ n ] = f ( t , y [ 0 ] , , y [ n - 1 ] ) is increasing and tends to . The existence of proper, oscillatory and unbounded solutions is proved.

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