二阶非齐次线性时滞微分方程解的有界性

Boundedness for the Solutions of Second Order Nonhomogeneous Linear Delay Differential Equations

借助于辅助函数,得到了二阶非齐次线性时滞微分方程(r(t)x′(t) )′+q(t)x(t-τ) =f(t)所有解均有界的判定准则.

Using Lyapunov function and inequalities technique, some new sufficient conditions under which the second order nonhomogeneous linear delay differential equation(r(t)x′(t))′+q(t)x(t-τ)=f(t),belongs to the L.S. are obtained.