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On generalized impulsive piecewise constant delay differential equations

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Abstract

A variation of parameters formula with Green function type and Gronwall type integral inequality are proved for impulsive differential equations involving piecewise constant delay of generalized type. Some results for piecewise constant linear and nonlinear delay differential equations with impulsive effects are obtained. They include existence and uniqueness theorems, a variation of parameters formula, integral inequalities, the oscillation property and some applications.

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Authors and Affiliations

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

    Kuo-Shou Chiu

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Chiu, KS. On generalized impulsive piecewise constant delay differential equations. Sci. China Math. 58, 1981–2002 (2015). https://doi.org/10.1007/s11425-015-5010-8

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