In this paper, we provide the stability theorem for the program: inf{f(x,t)|x∈H(t)}, using the'uniformly N-type' functions (also called ε-chainable functions). This theorem generalizes theresults of Dantzig,...In this paper, we provide the stability theorem for the program: inf{f(x,t)|x∈H(t)}, using the'uniformly N-type' functions (also called ε-chainable functions). This theorem generalizes theresults of Dantzig, Hogan, Greenberg, Ying Mei-qian et al.展开更多
Consider the high order neutral differential equation(y(t) +p(t)y(h(t)))^(n)+q(t)y(g(t))=0, (1)where p(t), q(t), h(t) and g(t)∈ C[t_0,+∞);q(t)>0;h(t)→∞, g (t)→∞ as t→∞;n≥2.The author studies the oscillatio...Consider the high order neutral differential equation(y(t) +p(t)y(h(t)))^(n)+q(t)y(g(t))=0, (1)where p(t), q(t), h(t) and g(t)∈ C[t_0,+∞);q(t)>0;h(t)→∞, g (t)→∞ as t→∞;n≥2.The author studies the oscillation of (1) when p(t) has an arbitrarily large zero, and obtainssome sufficient conditions.展开更多
基金Project supported by the Science Foundation of the Chinese Academy of Science
文摘In this paper, we provide the stability theorem for the program: inf{f(x,t)|x∈H(t)}, using the'uniformly N-type' functions (also called ε-chainable functions). This theorem generalizes theresults of Dantzig, Hogan, Greenberg, Ying Mei-qian et al.
文摘Consider the high order neutral differential equation(y(t) +p(t)y(h(t)))^(n)+q(t)y(g(t))=0, (1)where p(t), q(t), h(t) and g(t)∈ C[t_0,+∞);q(t)>0;h(t)→∞, g (t)→∞ as t→∞;n≥2.The author studies the oscillation of (1) when p(t) has an arbitrarily large zero, and obtainssome sufficient conditions.
