In this article, we shall establish sufficient conditions for the existence of mild solutions for second order semilinear integro-differential evolution equations in Fre'chet spaces $C(\mathbb{R}_+ , E)$, where $E$ is an Banach space. Our approach is based on the concept of a measure of noncompactness and Tykhonoff fixed point theorem. For illustration we give an example.
Jawahdou, A. (2019). Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces. Journal of Mathematical Modeling, 7(3), 305-318. doi: 10.22124/jmm.2019.13018.1256
MLA
Adel Jawahdou. "Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces". Journal of Mathematical Modeling, 7, 3, 2019, 305-318. doi: 10.22124/jmm.2019.13018.1256
HARVARD
Jawahdou, A. (2019). 'Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces', Journal of Mathematical Modeling, 7(3), pp. 305-318. doi: 10.22124/jmm.2019.13018.1256
VANCOUVER
Jawahdou, A. Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces. Journal of Mathematical Modeling, 2019; 7(3): 305-318. doi: 10.22124/jmm.2019.13018.1256
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