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Volume 2 (2022), Article ID 11
This paper deals with integrodifferential equations with integral impulses. First, we establish a new formula for the variation of the constants in order to obtain the form of the mild solution for such equations. Then, using the theory of the resolvent operator due to R. Grimmer, associated with the Burton-Kirk fixed point theorem, we give and prove a theorem of existence of solutions for these equations. At the end, we give an example to illustrate the obtained results.
How to Cite:
Kora Hafiz Bete, On mild solutions for integrodifferential systems with integral impulses in Banach spaces, Eur. J. Math. Appl. 2 (2022), Article ID 11. https://doi.org/10.28919/ejma.2022.2.11