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Displaying similar documents to “On asymptotic behaviour of solutions of functional differential equations”

Asymptotic properties of solutions of functional differential systems

Anatolij F. Ivanov, Pavol Marušiak (1992)

Mathematica Bohemica

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In the paper we study the existence of nonoscillatory solutions of the system x i ( n ) ( t ) = j = 1 2 p i j ( t ) f i j ( x j ( h i j ( t ) ) ) , n 2 , i = 1 , 2 , with the property l i m t x i ( t ) / t k i = c o n s t 0 for some k i { 1 , 2 , ... , n - 1 } , i = 1 , 2 . Sufficient conditions for the oscillation of solutions of the system are also proved.