摘要
讨论了Banach空间中非局部条件下半线性微分方程的适度解的存在性,利用不动点和非紧测度的方法,给出了在不需要半群紧性条件下方程适度解的存在性,并且对f是连续紧算子和f是Lipschitz连续的情形做了统一处理,从而得到了更为广泛和一般性的结果.
We discuss the existence of mild solutions for semilinear differential equations with nonlocal conditions in ganach spaces. By using the method of the fixed point and the measure of noncompacmess, the existence of mild solutions without the compactness of semigroup can be got and special cases as fis completely continuous and Lipschitz continuous can also be tackled, which are more extensive and general results.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第22期179-184,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10971182)
淮阴工学院青年教师基金(HGC0929)
关键词
非局部条件
适度解
不动点
非紧测度
nonlocal eonditions
mild solution
fixed point
measure of noncompactness