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Existence of Solutions for Abstract Non-Autonomous Neutral Differential Equations

  Published:2011-06-08
 Printed: Dec 2012
Canadian Mathematical Bulletin
  • Eduardo Hernández,
    Departamento de Computação e Matemática, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Ribeirão Preto, SP, Brazil
  • Donal O'Regan,
    Department of Mathematics National University of Ireland Galway, Ireland
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Abstract

In this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.
Keywords: neutral equations, mild solutions, classical solutions neutral equations, mild solutions, classical solutions
MSC Classifications: 35R10, 34K40, 34K30 show english descriptions Partial functional-differential equations
Neutral equations
Equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx] 35R10 - Partial functional-differential equations
34K40 - Neutral equations
34K30 - Equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx]
 
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