摘要
考虑Banach空间中形如:的广义Volterra积分方程,得到了关于此方程的Lp解的存在性、唯一性及对u的连续依赖性的某些结果。
The Lp solutions of the generalized VoIterra integral equations in Banach space in theform of ds is studied,where {Gt}is a family of subsets of Gsatisfying certain given conditions,Equations of such a typecontain several particular casesimportant in practice,By introducing a certain equivalent norm and employing the contrac-tion mapping principle,existence and uniqueness results for the solutions of the equation andcertain continuity results concerning the solutions are obtained.
出处
《华中理工大学学报》
CSCD
北大核心
1994年第12期109-113,共5页
Journal of Huazhong University of Science and Technology
关键词
压缩映射
巴拿赫空间
伏特拉积分方程
generalized Volterra integral equation
contraction mapping
Gronwall inequal- ity