On the existence of mild solutions for nonlocal impulsive partial integrodifferential equations in Banach spaces

  • Mamadou Abdoul Diop Université Gaston Berger, Senegal
  • Moustapha Dieye Universite ́ Gaston Berger, Senegal
  • Hasna Hmoyed Universite ́ Gaston Berger, Senegal
  • Khalil Ezzinbi Universite ́ Cadi Ayyad, Marrakesh, Morocco


In this work, we study the existence and uniqueness of mild and classical solutions for a nonlinear
impulsive partial integrodiifential equation with nonlocal conditions. We need the compactness of the resolvent operator of the integrodifferential equations. We give a framework on the existence of solutions for some integrodiffential equations. An example is provided for illustrations of these new results.