Some new oscillation theorems for a second order superlinear-sublinear neutral differential equation are established under some conditions. Our results improve and extend the main results in the previous literature. E...Some new oscillation theorems for a second order superlinear-sublinear neutral differential equation are established under some conditions. Our results improve and extend the main results in the previous literature. Explicit examples related to the main results are given.展开更多
We present some new oscillation criteria for second order neutral delay differential equations with distributed deviating argument using the Riccati technique and some inequalities. The results obtained improve and ex...We present some new oscillation criteria for second order neutral delay differential equations with distributed deviating argument using the Riccati technique and some inequalities. The results obtained improve and extend some known results.展开更多
本文研究了一类带有阻尼项的二阶半线性中立型微分方程(r(t)φ(x(t))|(x(t)+p(t)x(σ(t)))'|^(α-1)(x(t)+p(t)x(σ((t)))')'+φ(x(t),x′(t))+q_0(t)|x(T_0(t))|^(α-1)x(T_0(t))+sum from i=1 to n(q_i(t)|x(T_i(t))|^(β...本文研究了一类带有阻尼项的二阶半线性中立型微分方程(r(t)φ(x(t))|(x(t)+p(t)x(σ(t)))'|^(α-1)(x(t)+p(t)x(σ((t)))')'+φ(x(t),x′(t))+q_0(t)|x(T_0(t))|^(α-1)x(T_0(t))+sum from i=1 to n(q_i(t)|x(T_i(t))|^(β_i-1)x(T_i(t))=0)的解的性质,其中n是一个偶数,利用一些新的技巧,我们获得了方程解的振动的一些充分条件,并且给出例子阐述我们所得的结论.展开更多
基金supported by the NSF of Guangdong Province(Nos.S2012040006865and S2013010013050)the Science Education"The Twelfth Five Year Plan"2013 Year Project of Guangdong Province(No.2013JK128)the Natural Science Foundation of Guangdong University of Education(No.2014yjxm05)
文摘Some new oscillation theorems for a second order superlinear-sublinear neutral differential equation are established under some conditions. Our results improve and extend the main results in the previous literature. Explicit examples related to the main results are given.
基金supported by the NNSF of China (10771118)NSF of Shandong Province (ZR2009AM011)
文摘We present some new oscillation criteria for second order neutral delay differential equations with distributed deviating argument using the Riccati technique and some inequalities. The results obtained improve and extend some known results.
文摘本文研究了一类带有阻尼项的二阶半线性中立型微分方程(r(t)φ(x(t))|(x(t)+p(t)x(σ(t)))'|^(α-1)(x(t)+p(t)x(σ((t)))')'+φ(x(t),x′(t))+q_0(t)|x(T_0(t))|^(α-1)x(T_0(t))+sum from i=1 to n(q_i(t)|x(T_i(t))|^(β_i-1)x(T_i(t))=0)的解的性质,其中n是一个偶数,利用一些新的技巧,我们获得了方程解的振动的一些充分条件,并且给出例子阐述我们所得的结论.
