摘要
利用上下解方法和单调迭代技术讨论了含有一个参数的微分问题极值解的存在性,通过构造单调序列使这个单调序列一致收敛于非线性方程的极值解.
Discusses existence of extreme solutions to first-order differential equations with a parameter by the method of lower and upper solutions with monotone iterations. After being constructed, the monotonic sequence is uniformly converged to the extreme value solution of nonlinear equation .
出处
《河南教育学院学报(自然科学版)》
2008年第3期12-14,共3页
Journal of Henan Institute of Education(Natural Science Edition)
关键词
上下解
单调序列
收敛
极小解与极大解
lower and upper solutions
monotone sequence
convergence
minimal and maximal solutions