摘要
首先得到了一类含滞后变元的积分不等式的解 ,然后考虑二阶非线性微分方程(r(t)x′(t) )′ +[a(t) +b(t) ]x(t) =f[t,x(t) ,x( φ(t) ) ],假设它的解存在 ,文中得到了解的有界性与平方可积性的两个结论 .
The solution of an integral inequality containning lag variable is obtained. Then Consider the second order nolinear differential equation (r(t)x′(t))′+[a(t)+b(t)]x(t)=f[t,x(t),x(φ(t))]. Suppose the solution is existed, two conclusions of the boundness and quadratic integrability of the solution are obtained.
出处
《曲阜师范大学学报（自然科学版）》
CAS
2003年第2期32-36,共5页
Journal of Qufu Normal University(Natural Science)
基金
山东省自然科学基金 (Y2 0 0 1A0 3)资助项目
