# American Institute of Mathematical Sciences

January  2011, 29(1): 241-260. doi: 10.3934/dcds.2011.29.241

## $C^{\alpha}$-Hölder classical solutions for non-autonomous neutral differential equations

 1 Departamento de Física e Matemática, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto. Universidade de São Paulo, Ribeirão Preto, SP, Cp 14040-901, Brazil 2 Department of Mathematics, National University of Ireland, Galway

Received  December 2009 Revised  June 2010 Published  September 2010

In this paper we discuss the existence of α-Hölder classical solutions for non-autonomous abstract partial neutral functional differential equations. An application is considered.
Citation: Eduardo Hernández, Donal O'Regan. $C^{\alpha}$-Hölder classical solutions for non-autonomous neutral differential equations. Discrete & Continuous Dynamical Systems - A, 2011, 29 (1) : 241-260. doi: 10.3934/dcds.2011.29.241
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