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Banach空间常微分方程初值问题整体解的存在性
Global solutions for initial value problems of ordinary differential equation in Banach spaces
【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.
【Abstract】 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.
【关键词】 非紧性测度;
初值问题;
整体解;
单调迭代;
上下解方法;
【Key words】 non-compactness measure; initial value problems; global solutions; monotone iterative technique; upper and lower solution method;
【Key words】 non-compactness measure; initial value problems; global solutions; monotone iterative technique; upper and lower solution method;
- 【文献出处】 西北师范大学学报(自然科学版) ,Journal of Northwest Normal University(Natural Science Edition) , 编辑部邮箱 ,2003年03期
- 【分类号】O175.8
- 【被引频次】1
- 【下载频次】58