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  • Research Article
  • Open Access

Linear functional differential equations possessing solutions with a given growth rate

Journal of Inequalities and Applications20052005:838609

  • Received: 7 April 2004
  • Published:


We establish optimal, in a sense, conditions under which, for arbitrary forcing terms from a suitable class, a linear inhomogeneous functional differential equation in a preordered Banach space possesses solutions satisfying a certain growth restriction.

Authors’ Affiliations

Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, FL 32901-6975, USA
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkovskaya Street, Kiev, 01601, Ukraine
Mathematical Institute, Academy of Sciences of the Czech Republic, Žižkova 22, Brno, 61662, Czech Republic


© Agarwal and Rontó 2005