微分迭代方程的变换定理及其应用

葛渭高

数学学报 ›› 1997, Vol. 40 ›› Issue (6)

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中国科学院数学与系统科学研究院期刊网
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数学学报 ›› 1997, Vol. 40 ›› Issue (6) DOI: 10.12386/A1997sxxb0109
论文

微分迭代方程的变换定理及其应用

    葛渭高
作者信息 +

A Transform Theorem of Differential-Iterative Equations and Its Application

    WeiGao Ge
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文章历史 +

摘要

本文给出了微分迭代方程的一个变换定理；作为应用，讨论了线性微分迭代方程ｘ（ｔ）＝ａｘ（ｔ）ｂｘ（ｘ（ｔ））在ａ＞ｂ＞０时单调解的存在性，纠正了文［４］讨论中的缺陷

Abstract

A transform theorem for differential-iterative equations is given. As its application a linear differential-iterative equation =ax bx(x), a>b>0, is discussed and errors in the proof of some results in are corrected.

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变换 / 微分迭代方程 / 映射不动点

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葛渭高. 微分迭代方程的变换定理及其应用. 数学学报, 1997, 40(6) https://doi.org/10.12386/A1997sxxb0109
WeiGao Ge. A Transform Theorem of Differential-Iterative Equations and Its Application. Acta Mathematica Sinica, Chinese Series, 1997, 40(6) https://doi.org/10.12386/A1997sxxb0109
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