Turkish Journal of Mathematics
DOI
10.3906/mat-1807-37
Abstract
In this paper, we study a class of neutral functional integrodifferential equations with finite delay in Banach spaces. We are interested in the global existence, uniqueness of mild solutions with values in the Banach space and in its subspace $D(A).$ The results are based on Banach's and Schauder's fixed point theorems and on the technique of equivalent norms. As an application, we consider a diffusion neutral functional integrodifferential equation.
Keywords
Mild solution, functional integrodifferential equation, neutral equation, semigroup of bounded linear operators, infinitesimal generator, finite delay
First Page
1809
Last Page
1822
Recommended Citation
KOUMLA, SYLVAIN; PRECUP, RADU; and SENE, ABDOU
(2019)
"Existence resultsfor some neutral functional integrodifferential equations with bounded delay,"
Turkish Journal of Mathematics: Vol. 43:
No.
4, Article 1.
https://doi.org/10.3906/mat-1807-37
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss4/1
