无穷区间上脉冲发展方程整体古典解的存在唯一性及其应用  

The Existence and Uniqueness of Global Classical Solutions for Impulsive Evolution Equations on Infinite Interval and Their Applications

作　　者：李莹[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《河南科学》2015年第5期691-696,共6页Henan Science

基　　金：陕西省教育厅专项科研计划项目(2013JK0572;2014JK1035);宝鸡文理学院重点科研项目(Zk0689)

摘　　要：研究Banach空间中脉冲发展方程初值问题古典解的存在唯一性.采用逐段延拓的方法,在解析半群情形下,对脉冲函数不限制任何条件,得到无穷区间上一阶脉冲发展方程初值问题古典解的整体存在性以及唯一性结果.并将所得抽象结果运用到抛物型偏微分方程上.The existence and uniqueness of classical solution about the initial value problems for impulsive evolution equations are discussed in Banach space. Without using any extra conditions for the impulsive functions ,the existence and uniqueness of classical global solutions are obtained about the initial value problems for first-order impulsive evolution equations on infinite interval by the method of extending interval when the semigroup is analytic. Moreover, the abstract results are applied to the parabolic partial differential equations.

关 键 词：古典解 初值问题 解析半群 逐段延拓 

分 类 号：O175.3[理学—数学]