Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708421 | Applied Mathematics Letters | 2011 | 7 Pages |
Abstract
In this paper, we establish sufficient conditions for the existence of solutions for some partial functional differential equations with state-dependent delay; we assume that the linear part is not necessarily densely defined and satisfies the well-known Hille–Yosida conditions. Our approach is based on a nonlinear alternative of Leray–Schauder type and integrated semigroup theory. An application is provided to a reaction–diffusion equation with state-dependent delay.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Mohammed Belmekki, Mouffak Benchohra, Khalil Ezzinbi,