- Turkish Journal of Mathematics
- Vol: 43 Issue: 4
- Existence results for some neutral functional integrodifferential equations with bounded delay
Existence results for some neutral functional integrodifferential equations with bounded delay
Authors : Sylvain Koumla, Radu Precup, Abdou Sene
Pages : 1809-1822
View : 10 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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