摘要
讨论了方程 X(t)=f(t)+λintegral from n=D K(t,S)g(s,x(s))ds x∈D解的存在性,借助于对非紧性测度有关不等式的推广,解决了[1]中提出的问题。
This paper studied the existence of solutions for x(t)=f(t)+λ integral from n=D K(t, s)g(s, x(s))ds x∈D in [1], Szufla wondered if the assumption of noncompactness for g(t, x)could be replaced by the common assumption of noncompactness, this problem is soled.
出处
《山东师范大学学报(自然科学版)》
CAS
1993年第3期22-27,共6页
Journal of Shandong Normal University(Natural Science)
关键词
巴拿赫空间
H方程
L^p解
存在性
Banach Space, Hammerstein equation, L^P-Solution, noncompactness