On solutions of a neutral differential equation with deviating argument

  • Authors:

  • J. Bana;I. J. Cabrera

  • Affiliations:

  • Department of Mathematics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland;Departmento de Mathematicas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2006

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Abstract

We prove a theorem on the existence and asymptotic behaviour of solutions of a differential equation with a deviating argument of neutral type. The considered equation contains both delayed and advanced arguments. The method used in the proof of our main result depends on conjunction of the classical Schauder fixed point theorem with the technique of measures of noncompactness.