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Multi-point boundary value problem of first order impulsive functional differential equations

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Abstract

In this paper, we introduce a new definition of lower and upper solutions for boundary value problem of first order impulsive functional differential equations with nonlinear multi-point boundary conditions. By developing a new maximum principle and using the monotone iterative technique, we obtain the extremal solutions of the boundary value problem.

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Authors and Affiliations

  1. Dept. of Math., Yuncheng University, Yuncheng, 044000, China

    Yajing Zhang & Fengqin Zhang

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  1. Yajing Zhang
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  2. Fengqin Zhang
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Correspondence to Fengqin Zhang.

Additional information

This work is supported by the Sciences Foundation of Shanxi and the Major Subject Foundation of Shanxi.

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Zhang, Y., Zhang, F. Multi-point boundary value problem of first order impulsive functional differential equations. J. Appl. Math. Comput. 31, 267–278 (2009). https://doi.org/10.1007/s12190-008-0209-2

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  • DOI: https://doi.org/10.1007/s12190-008-0209-2

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