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- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by Sociedad Española de Matemática Aplicada
- Subject
- Mathematics; Mathematics, general; Applications of Mathematics
- ISSN
- 2254-3902
- eISSN
- 2281-7875
- DOI
- 10.1007/s40324-016-0096-7
- Publisher site
- See Article on Publisher Site
Abstract
In this work, we study the existence of mild solutions for some partial functional integrodifferential equations with finite delay in a Fréchet spaces. We assume that the linear part has a resolvent operator in the sense given by Grimmer (Trans Am Math Soc 273: 333–349, 1982). The nonlinear part is a sum of a Lipschitzian function and another satisfies the Carathéodory’s conditions. Our approach is based on a nonlinear alternative of Avramescu type and the resolvent operators theory. An application is provided to a reaction-diffusion equation with delay.
Journal
SeMA Journal – Springer Journals
Published: Oct 11, 2016