脉冲条件下半线性微分包含的适度解  

Mild solutions to impulsive semilinear differential inclusions

作　　者：嵇绍春[1] 李刚[2] 

机构地区：[1]淮阴工学院数理学院,淮安223003 [2]扬州大学数学科学学院,扬州225002

出　　处：《黑龙江大学自然科学学报》2013年第4期483-487,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11271316);江苏省高校自然科学研究项目(11KJB110018);淮阴工学院青年基金资助项目(HGC1229)

摘　　要：在广义的Banach空间中研究带有脉冲条件的非局部半线性微分包含,给出非局部项Lipschitz条件下脉冲微分系统适度解存在的充分条件。在相应算子半群等度连续的条件下,利用多值映射不动点定理和非紧测度的方法,对脉冲函数项和扰动项的紧性条件与Lipschitz条件进行统一处理。给出一个例子说明抽象结果。The mild solutions to impulsive nonlocal differential inclusions in general Banach spaces are considered. The sufficient conditions for the mild solutions to the impulsive differential system are given when the nonlocal item is Lipschitz continuous. By using muhivalued fixed point theorem and measure of noncompactness, the compacness and Lipschitz continuity of impulsive functions are dealt with in a unified way when the associated operator semig- roup is equicontinuous. An example is given to illustrate the obtained abstract result.

关 键 词：脉冲微分包含 非局部条件 非紧测度 不动点 

分 类 号：O175.15[理学—数学]