Oscillation criteria for the delay differential equationwhere p, T are non-negative real-valued continuous functions are investigated in the case when the numberssatisfy 0 < k < 1/e and 1/e < L < 1. The pr...Oscillation criteria for the delay differential equationwhere p, T are non-negative real-valued continuous functions are investigated in the case when the numberssatisfy 0 < k < 1/e and 1/e < L < 1. The present result improves almost all results of the literature concerning it. Furthermore, it is established that all solutions of the odd-order neutral delay differential equationwhere , are oscillatory ifThis result generalizes a theorem of Gopalsamy et. al (Czech. Math. J., 42 (1992),313-323) and also extends a very well-known result of Ladas (Applicable Analysis, 9(1979),93-98).展开更多
文摘Oscillation criteria for the delay differential equationwhere p, T are non-negative real-valued continuous functions are investigated in the case when the numberssatisfy 0 < k < 1/e and 1/e < L < 1. The present result improves almost all results of the literature concerning it. Furthermore, it is established that all solutions of the odd-order neutral delay differential equationwhere , are oscillatory ifThis result generalizes a theorem of Gopalsamy et. al (Czech. Math. J., 42 (1992),313-323) and also extends a very well-known result of Ladas (Applicable Analysis, 9(1979),93-98).
