摘要
利用凝聚映像的Sadovskii不动点定理,讨论了Banach空间中一类半线性混合型发展方程初值问题,获得了其mild解的存在性,推广了一些文献的结果.
In this paper, by using the well- known fixed point theorem with respect to condensing operator, the initial value problem for mixed type semi - linear evolution equation was discussed, and the existence of mild solution to this problem was obtained, which generalizes the corresponding results.
出处
《佳木斯大学学报(自然科学版)》
CAS
2008年第4期556-558,共3页
Journal of Jiamusi University:Natural Science Edition
关键词
BANACH空间
半线性发展方程
非紧性测度
不动点定理
C0-半群
Banach spaces
semi - linear evolution equation
tribute of non- compactness
fLXed point theorem
Co - semi - group