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1. 7. 2003.
Nonoscillatory solutions for system of neutral delay equation
Abstract Consider the system of neutral delay differential equations d d t ( x (t)+p x (t−τ))+Q(t) x (t−σ)= 0 , where p∈ R ,τ∈(0,∞),σ∈[0,∞] and Q is continuous matrix, and the system d d t ( x (t)+B x (t−τ))+Q(t) x (t−σ)= 0 , where B is a matrix. We obtain the sufficient condition for the existence of certain types of solutions of the above equation to be ∫ ∞ ||Q(s)|| d s for p≠−1 .