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摘要:
通过定义合适的线性空间以及范数,给出恰当的算子,在非线性项和脉冲值满足一定的条件下, 分别利用压缩映像原理和krasnoselskii不动点定理, 研究了分数阶脉冲微分方程组边值问题解的存在性和唯一性,并给出例子说明所需要的条件是可以满足的。
关键词:常微分方程数值解;压缩映像原理;微分方程组;脉冲;分数阶微积分;边值问题
中图分类号:O175.8[WTHZ][STHZ]MSC(2010)主题分类:[WTBZ][STBZ]34B15文献标志码:
收稿日期:20141013;修回日期:20150128;责任编辑:张军
基金项目:国家自然科学基金(1117108(8);河北省自然科学基金(A201320810(8);河北省自然科学基金(A201320814(7)
作者简介:江卫华(1964—),女,河北邯郸人,教授,博士,主要从事应用泛函分析、常微分方程边值问题方面的研究。
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