摘要
研究Banach空间中定义在无穷区间R+上具有无穷多个脉冲点的非线性脉冲Volterra积分方程组解的存在性· 给出了若干极值解的存在定理 ,改进了定义在有限区间上具有有限个脉冲点情形时该类方程的相应结果 。
The existence of solutions for systems of nonlinear impulsive Volterra integral equations on the infinite interval R + with an infinite number of moments of impulse effect in Banach spaces is studied. Some existence theorems of extremal solutions are obtained, which extend the related results for this class of equations on a finite interval with a finite number of moments of impulse effect. The results are demonstrated by means of an example of an infinite systems for impulsive integral equations.
出处
《应用数学和力学》
EI
CSCD
北大核心
2001年第6期551-560,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金!资助重大项目 ( 19990 510 )
国家教委博士点专项基金!资助项目 (D0 990 1)