摘要
本文以非紧致测度为工具研究了Banach空间中的非线性Volterra积分方程,我们得到一些存在性定理,其实质是取消了核函数的一致连续性。我们也得到解集对参数的上半连续依赖性的结果。最后,利用所得结果我们给出了一个半线性发展方程的mild解的存在性。
The purpose of this paper is to study nonlinear Volterra integral equations in Banach spaces by using noncompact measure. we will give some existence theorem, in which the condition of kernel function to be uniformly continuous is cancelled. We have also established some results of upper semicontinuous dependence of solutions set. Finally, we use the above results to get the existence of mild solutions of a semilinoar evolution equation.
出处
《应用数学》
CSCD
北大核心
1989年第1期9-18,共10页
Mathematica Applicata
