Existence, uniqueness and asymptotic behavior of the solutions of a fuzzy differential equation with piecewise constant argument

  • Authors:

  • G. Papaschinopoulos;G. Stefanidou;P. Efraimidis

  • Affiliations:

  • Democritus University of Thrace, School of Engineering, 67100 Xanthi, Greece;Democritus University of Thrace, School of Engineering, 67100 Xanthi, Greece;Democritus University of Thrace, School of Engineering, 67100 Xanthi, Greece

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2007

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Abstract

In this paper we study the existence, the uniqueness and the asymptotic behavior of the solutions of the fuzzy differential equation of the form:x^'(t)=px(t)+qx([t]),t@?[0,~),where p, q are constant real numbers and the initial value x"0 is a fuzzy number.