有阻尼的二阶脉冲无穷时滞泛函微分方程解的存在性  

Existence Results of Damped Second Order Impulsive Functional Differential Equations with Infinite Delay

作　　者：谢胜利[1] 

机构地区：[1]安徽建筑大学数理学院,合肥230601

出　　处：《数学物理学报（A辑）》2015年第1期97-109,共13页Acta Mathematica Scientia

基　　金：安徽省自然科学基金(11040606M01);安徽省教育厅自然科学重点基金(KJ2012A055)资助

摘　　要：应用Kuratowski非紧性测度和分段估计方法,研究Banach空间中有阻尼的二阶脉冲无穷时滞泛函微分方程mild解的存在性和正则性.脉冲项的紧性条件,先验估计和非紧性测度估计的限制条件没有被使用,所得结果不同于许多已知的结果.作为应用,举了两个例子说明该文的结果.Using the Kuratowski measure of noncompactness and progressive estimation method,we study the existence and regularity of mild solutions for damped second order impulsive functional differential equations with infinite delay in Banach spaces.The compactness condition on the impulsive term,some restrictive conditions on a priori estimation and noncompactness measure estimation have not been used,our results are different from the known results.As applications,some examples are provided to illustrate the obtained results.

关 键 词：有阻尼的二阶脉冲泛函微分方程 Kuratowski非紧性测度 MILD解 古典解 强解 

分 类 号：O175.15[理学—数学]