【摘要】 研究了一类具连续分布滞量的高阶非线性中立型方程a(t)[x(t)+∑mi=1ci(t)x(τi(t))](n-1)′+∫abq(t,ξ)f(x(g(t,ξ)))dσ(ξ)=0的振动性,利用一般的Riccati变换和完全平方技术,通过引进参数函数H(t,s),并在减弱H(t,s)的条件下,获得了方程更一般性的振动准则,所得结论改进并推广了已知文献中的部分结果.更多还原

【Abstract】 Oscillation theorems of higher-order nonlinear neutral equations with continuous distributed delay of the form a（t）[x（t）+∑mi=1c_i（t）x（τ_i（t））]^（n-1）′+∫^b_aq（t,ξ）f（x（g（t,ξ）））dσ（ξ）=0are investigated.By using the generalized Riccati transformation and the integral averaging technique,and by introducing the parameter functions,some generalized oscillation criteria of the equation are obtained under the weak conditions,which improve and extend some known results in the literature.更多还原