摘要
首先利用局部凸空间非紧性测度得到一个新的不动点定理;并运用此定理研究了局部凸空间非线性V o lterra型积分方程解的存在性,然后应用到弱拓扑结构下对非线性V o lterra型积分方程解的存在性的讨论.推广了原有文献的结果.
In this paper, first we get a fixed point theroem via the measure of noncompactness in locally convex spaces. Secondly, we apply the above theorem to study the existence of solutions for Volterra integral equations. In particular, we use these results to get the existence of solutions to these equations relative to the weak topology and generalize the results obtained by others.
出处
《应用泛函分析学报》
CSCD
2006年第1期43-50,共8页
Acta Analysis Functionalis Applicata