Existence of solutions in the alpha-norm for partial differential equations of neutral type with finite delay

In this work, we prove results on the local existence of mild solution and global continuation in the alpha-norm for some class of partial neutral differential equations. We suppose that the linear part generates a compact analytic semigroup. The nonlinear part is just assumed to be continuous....

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Bibliographic Details
Main Authors: Khalil Ezzinbi, Hatem Megdiche, Amor Rebey
Format: Article
Language:English
Published: Texas State University 2010-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/157/abstr.html