一类含Hille-Yosida算子的Volterra积分微分方程的解  

The solution of Volterra integro-differential equation for Hille-Yosida operators

作　　者：李春宏[1] 刘丽英[1] 

机构地区：[1]成都理工大学应用数学系,四川成都610051

出　　处：《宝鸡文理学院学报（自然科学版）》2010年第3期9-11,共3页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：目的研究一类含Hille-Yosida算子的Volterra积分微分方程严格解的存在性和唯一性。方法使用抽象Cauchy问题的结论和压缩映象原理。Aim To study the existence and uniqueness of exact solution of a kind of Volterra integro-differential equation for Hille-Yosida operators.Methods The study is based on the conclusion of the abstract Cauchy problem and the main proof method is contraction mapping principle.Results and Conclusion It has been proved that the exact solution is existent and unique.

关 键 词：Hille—Yosida算子 VOLTERRA积分微分方程 严格解 压缩映象原理 

分 类 号：O175.26[理学—数学]