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For the differential system u1'(t)=p(t)u2(ÃÂ„(t)), u2'(t)=q(t)u1(ÃÂƒ(t)), tÃ¢ÂˆÂˆ[0,+Ã¢ÂˆÂž), where p,qÃ¢ÂˆÂˆLloc(Ã¢Â„Â+;Ã¢Â„Â+), ÃÂ„,ÃÂƒÃ¢ÂˆÂˆC(Ã¢Â„Â+;Ã¢Â„Â+), limtÃ¢Â†Â’+Ã¢ÂˆÂžÃÂ„(t)=limtÃ¢Â†Â’+Ã¢ÂˆÂžÃÂƒ(t)=+Ã¢ÂˆÂž, we get necessary and sufficient conditions that this system does not have solutions satisfying the condition u1(t)u2(t)<0 for tÃ¢ÂˆÂˆ[t0,+Ã¢ÂˆÂž). Note one of our results obtained for this system with constant coefficients and delays (p(t)Ã¢Â‰Â¡p,q(t)Ã¢Â‰Â¡q,ÃÂ„(t)=tÃ¢ÂˆÂ’ÃŽÂ”,ÃÂƒ(t)=tÃ¢ÂˆÂ’ÃŽÂ´, where ÃŽÂ´,ÃŽÂ”Ã¢ÂˆÂˆÃ¢Â„Â and ÃŽÂ”+ÃŽÂ´>0). The inequality (ÃŽÂ´+ÃŽÂ”)pq>2/e is necessary and sufficient for nonexistence of solutions satisfying this condition

On the Kneser-Type Solutions for Two-Dimensional Linear Differential Systems with Deviating Arguments