Displaying similar documents to “Decaying trajectories in sublinear retarded equations of arbitrary order”

Oscillation of nonlinear differential systems with retarded arguments

Beatrix Bačová, Božena Dorociaková (2005)

Czechoslovak Mathematical Journal

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In this work we investigate some oscillatory properties of solutions of non-linear differential systems with retarded arguments. We consider the system of the form y i ' ( t ) - p i ( t ) y i + 1 ( t ) = 0 , i = 1 , 2 , ⋯ , n - 2 , y n - 1 ' ( t ) - p n - 1 ( t ) | y n ( h n ( t ) ) | α s g n [ y n ( h n ( t ) ) ] = 0 , y n ' ( t ) s g n [ y 1 ( h 1 ( t ) ) ] + p n ( t ) | y 1 ( h 1 ( t ) ) | β ≤ 0 , where n ≥ 3 is odd, α > 0 , β > 0 .