摘要
给出了非线性Volterra型积微分方程初值问题在Carathédodory意义下解的存在性定理、比较定理和唯一性定理,它们是常微分方程相应结果的推广 ̄[1][2]。
This paper gives existence theorem,comparison theorem and uniqueness theorem of in itial value problem for nonlinear integro- differential equations with Volterra type in the caratheodory sense.The results of this paper are extentions of corresponding results for ordinary differential equations。
出处
《山东师范大学学报(自然科学版)》
CAS
1994年第2期1-4,共4页
Journal of Shandong Normal University(Natural Science)
关键词
非线性
常微分方程
初值问题
nonlinear integro-differential equation with Volterra type, the solution in the Caratheodory sense,Caratheodory conditions,Schouders fixed point method