摘要
讨论了一类更为广泛的含有反常积分的积分不等式,和已有的结果相比,该结果不需要某些函数单调性的限制,而把已有结果作为该结果的特殊情形.最后给出相应的例子来说明该不等式在证明微分方程解的有界性中的应用.
A class of more general nonlinear inequalities involving improper integral is discussed. Compared with known results, the discussed result does not require the monotonicity of some functions but take known results as special cases of it. Examples are given to explain the application of this inequality in boundedness of the solution of differential equations.
出处
《重庆工学院学报(自然科学版)》
2008年第8期66-70,共5页
Journal of Chongqing Institute of Technology
基金
四川省教育厅基金资助项目(2006C082)
关键词
积分不等式
反常积分
非线性
integral inequality
improper integral
nonlinearity