局部凸空间中Cauchy初值问题解的存在性

Existence of solutions to Cauchy initial problem in locally convex spaces

摘要: 首先讨论了局部凸空间中关于非紧性测度的定义及基本性质;然后利用非紧性测度得到了一个新的不动点定理,并运用此定理来讨论局部凸空间中Cauchy初值问题解的局部存在性.

Abstract: The measure of noncompactness in locally convex spaces is discussed,and a new fixed point theroem via the measure of noncompactness in locally convex spaces is obtained and applied to study the existence of solutions for operator equations.