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In the present paper we establish explicit and easy computable sufficient conditions for existing of bounded and unbounded non-oscillating so- lutions of linear delayed system of neutral type with distributed delay. The results are proved by logarithmic norm technique and are new even in the case of system with constant delays in neutral part. Moreover they are applicable in the case of non-monotone measures too.

EXPLICIT CONDITIONS FOR EXISTING OF NON-OSCILLATING SOLUTIONS OF ODD ORDER LINEAR SYSTEM OF NEUTRAL TYPE WITH DISTRIBUTED DELAY