Displaying similar documents to “On a class of first order nonlinear functional differential equations of neutral type”

Asymptotic properties of solutions of functional differential systems

Anatolij F. Ivanov, Pavol Marušiak (1992)

Mathematica Bohemica

Similarity:

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.