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ANALYTIC SOLUTIONS OF A FUNCTIONAL DIFFERENTIAL EQUATION WITH PROPORTIONAL DELAYS

  • Published : 2002.05.01

Abstract

By means of the method of majorant series, sufficient conditions are obtained for the existence of analytic solutions of a functional differential equation with proportional delays.

Keywords

References

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  1. Recent advances in the numerical analysis of Volterra functional differential equations with variable delays vol.228, pp.2, 2009, https://doi.org/10.1016/j.cam.2008.03.024
  2. Direct operatorial tau method for pantograph-type equations vol.219, pp.4, 2012, https://doi.org/10.1016/j.amc.2012.08.065
  3. Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays vol.4, pp.1, 2009, https://doi.org/10.1007/s11464-009-0001-0