Weighted pseudo-almost automorphic solutions for some partial functional differential equations

作者：Boukli Hacene Nadira; Ezzinbi Khalil^*

来源：Nonlinear Analysis: Real World Applications , 2011, 12(1): 562-570.

DOI：10.1016/j.nonrwa.2010.06.040

• Partial functional differential equation
• Hyperbolic semigroup
• Weighted pseudo-almost automorphic solution

In this paper, we study the existence and uniqueness of a weighted pseudo-almost automorphic solution for some nonhomogeneous partial functional differential equations. We use the variation of constants formula developed in Ezzinbi and N'Guerekata (2007) [11] and the spectral decomposition of the phase space to show the main result of this work. To illustrate our main result, we study the existence and uniqueness of a weighted pseudo-almost automorphic solution for some diffusion equations with delay.

• 出版日期2011-2