New sufficient conditions for the oscillation of all solutions of the neutral differential equation [x(t) - p(t)x(t -τ)]' + Q(t)x(t -σ) = 0 are obtained, which further answers an open problem proposed by Gyori a...New sufficient conditions for the oscillation of all solutions of the neutral differential equation [x(t) - p(t)x(t -τ)]' + Q(t)x(t -σ) = 0 are obtained, which further answers an open problem proposed by Gyori and Ladas. An necessary and sufficient condition for the existence of positive solutions is also obtained which partially solves an open problem proposed by Chuanxi and Ladsa and which has been be proved in [9], but we give a new proof.展开更多
文摘New sufficient conditions for the oscillation of all solutions of the neutral differential equation [x(t) - p(t)x(t -τ)]' + Q(t)x(t -σ) = 0 are obtained, which further answers an open problem proposed by Gyori and Ladas. An necessary and sufficient condition for the existence of positive solutions is also obtained which partially solves an open problem proposed by Chuanxi and Ladsa and which has been be proved in [9], but we give a new proof.
