Solvability of impulsive neutral evolution differential inclusions with state-dependent delay

نویسندگان

  • Wen-Sheng Li
  • Yong-Kui Chang
  • Juan J. Nieto
چکیده

In this paper, we prove the existence of mild solutions for a first order impulsive neutral evolution differential inclusion with state-dependent delay. We transform it into an integral equation and use a fixed point theorem for condensing multi-valued maps. As an application of the main theorem, we consider the case when the multi-valued nonlinearity has sub-linear growth in the state variable.

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عنوان ژورنال:
  • Mathematical and Computer Modelling

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2009