Impulsive differential equations with nonlocal conditionsin general Banach spaces

نویسندگان

  • Lanping Zhu
  • Qixiang Dong
  • Gang Li
چکیده

* Correspondence: lpzmath@yahoo. com.cn School of Mathematics, Yangzhou University, Yangzhou 225002, China Abstract This article is concerned with impulsive semilinear differential equations with nonlocal initial conditions in Banach spaces. The approach used is fixed point theorem combined with the technique of operator transformation. Existence results are obtained when the nonlocal item is Lipschitz continuous. An example is also given to illustrate the obtained theorem. AMS classification: 34G10; 47D06.

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تاریخ انتشار 2012