摘要
本文研究 Banach 空间 X 中涉及摄动的具有不连续右端的常微分方程 Cauchy 问题,我们给出了满足非紧致条件算子和耗散算子之间的关系式.并利用这个结果,我们得到了由这类方程所描述的不连续的 Carathéodory 系统解的存在性。
This paper discusses Cauchy problem of the differential equations for discontinuous right- hand involving perturbations in a Banach space The paper gives a relation between operators satisfying noncompactness conditions and dissipative operators.Using this result,this essay gets the existence of solution for discontinuous Carathéodory System described by these equations
出处
《武汉城市建设学院学报》
1991年第4期1-7,共7页
Journal of Wuhan Urban Construction Institute
关键词
BANACH空间
常微分方程
半内积
Banach space
noncompact measures
semi-inner products
Caratheodory System
