单调迭代法与一阶脉冲泛函微分方程周期边值问题

何智敏;葛渭高

数学学报 ›› 2005, Vol. 48 ›› Issue (1) : 171-176.

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PDF(323 KB)
数学学报 ›› 2005, Vol. 48 ›› Issue (1) : 171-176. DOI: 10.12386/A2005sxxb0019
论文

单调迭代法与一阶脉冲泛函微分方程周期边值问题

    何智敏;葛渭高
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Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations

    Zhi Min HE(1), Wei Gao GE(2)
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摘要

本文利用单调迭代法与上下解方法,研究了一阶脉冲泛函做分方程周期边值问题最大解与最小解的存在性.

Abstract

This paper uses the method of upper and lower solutions and the monotone iterative technique to investigate the existence of maximal and minimal solutions of the periodic boundary value problem for first order impulsive functional differential equations.

关键词

单调迭代法 / 脉冲泛函微分方程 / 周期边值问题

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何智敏;葛渭高. 单调迭代法与一阶脉冲泛函微分方程周期边值问题. 数学学报, 2005, 48(1): 171-176 https://doi.org/10.12386/A2005sxxb0019
Zhi Min HE(1), Wei Gao GE(2). Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations. Acta Mathematica Sinica, Chinese Series, 2005, 48(1): 171-176 https://doi.org/10.12386/A2005sxxb0019
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