【摘要】 研究了二阶非线性中立型微分方程[x(t)+p(t)x(t-τ)]″+∑mk=1uk(t)kf(x(t-σk))=0解的零点分布问题.通过采用降阶的方法将二阶非线性中立型微分方程转化为与之相关的一阶线性微分不等式.进而对二阶微分方程振动解相邻零点间的距离进行了估计,并加以举例说明.更多还原

【Abstract】 Consider the distribution of the zeros of solutions to a second order nonlinear neutral differential equation[x(t)+p(t)x(t-τ)]″+∑mk=1u_k(t)f_k(x(t-σ_k))=0The second order neutral differential equation is changed into the related first order differential inequality by reducing the order.An estimate is established for the distance between adjacent zeros of the solutions of the second order differential equation.And give an example to illustrate the estimate.更多还原