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Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument

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Abstract

A variation of parameters formula and Gronwall type integral inequality are proved for a differential equation involving general piecewise alternately advanced and retarded argument.

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Authors and Affiliations

  1. Departamento de Matemática, Facultad de Ciencias Básicas, Universidad Metropolitana de Ciencias de la Educación, J. P. Alessandri 774, Santiago, Chile

    Kuo-Shou Chiu

  2. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile

    Manuel Pinto

Authors
  1. Kuo-Shou Chiu
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  2. Manuel Pinto
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Correspondence to Kuo-Shou Chiu.

Additional information

First author’s research was supported by FONDECYT 1080034 and APIS 29-11 DIUMCE.

Second author’s research was supported by FONDECYT 1080034 and DI 0052-10 UNAP.

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Chiu, KS., Pinto, M. Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument. Acta Math. Appl. Sin. Engl. Ser. 27, 561–568 (2011). https://doi.org/10.1007/s10255-011-0107-5

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  • DOI: https://doi.org/10.1007/s10255-011-0107-5

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