摘要
在紧型条件下,利用非紧性测度的性质和上下解方法,在[0,+∞)上建立了比较定理和单调迭代法,得到了一类常微分方程初值问题在[0,+∞)上整体解的3个存在性结果.
Under the compact type condition,a comparision theorem and monotone iterative techniques are founded on ,+∞) by using the theory of noncompactness measure and upper and lower solutions method,three existence results of global solutions are obtained for a initial value problem of ordinary differential equation in Banach spaces.
出处
《西北师范大学学报(自然科学版)》
CAS
2003年第3期12-16,共5页
Journal of Northwest Normal University(Natural Science)
关键词
非紧性测度
初值问题
整体解
单调迭代
上下解方法
non-compactness measure
initial value problems
global solutions
monotone iterative technique
upper and lower solution method