中文摘要中文摘要时标动力学方程不仅刻画了微分方程与差分方程,,,我们首先给出时标上指数型二分性、(嘞(.Ⅱ'+,x),Lp(T+,x))(鸥(fⅡ'+,x),LP(T+,x))(鸥(,ⅡI+,x),驴(T+,x))上发展算子允许性,,利用时标上指数型二分性,针对一个积分方程,建立函数对空间(鸥(.Ⅱ'+,x),ty(T+,x)):时标动力学方程;指数型二分性;发展算子;--,westudyarelationbetweenexponentialdi—chotomyontimescalesandadmissibilityofthepair(c:d(v+,x),伊(旷,x))(cS('r+,x),胪(T+,x)),withthehelpofexponentialdichotomyontimescales,wegivetheadmissibilityofthepair(cS(v+,x),汐(Ⅱ+,x))foraninput—:Dynamicequationsontimescales;Exponentialdichotomy;Evolutionoperator;....................................IAbstract.....................................II目录.......................................III符号说明....................................IV第1章绪论.............................................................................2第2章预备知识.................................3第3章基本定义及辅助引理。...。......................................................................................10第4章指数型二分性与允许性.........................13结论.......................................24参考文献...................................25致谢.......................................33攻读学位期间发表的学术论文.........................34独创性声明......................
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