一般Volterra-Stieltjes微积分方程的比较定理

数学季刊 ›› 2003, Vol. 18 ›› Issue (4): 414-418.

一般Volterra-Stieltjes微积分方程的比较定理

Department of Police Management ,Henan Public Security College ,Zhengz hou 450002,China

收稿日期:2003-04-06 出版日期:2003-12-30 发布日期:2024-04-03
作者简介:LOU Meihi（1955－）,female ,native of Suixian ,Henan ,an asscociate professor of Henan Public Security College ,engages in real analysis .

Comparison Theorem for General Volterra-Stieltjes Integro-differential Equations

Department of Police Management ,Henan Public Security College ,Zhengz hou 450002,China

Received:2003-04-06 Online:2003-12-30 Published:2024-04-03
About author:LOU Meihi（1955－）,female ,native of Suixian ,Henan ,an asscociate professor of Henan Public Security College ,engages in real analysis .

摘要/Abstract

摘要： In this paper ,A．B．Mingarelli s result is generalized to General Volterra-Stieltjes Integro-dif- ferential Equations ．Comparison theorem and equivalence condition of non-oscillation are obtained . Classical Sturm comparison theorem and some conclusions are generalized .

关键词: integro-differential equation；riccati integral equation；comparison theorem；non-oscillation ,

Abstract: In this paper ,A．B．Mingarelli s result is generalized to General Volterra-Stieltjes Integro-dif- ferential Equations ．Comparison theorem and equivalence condition of non-oscillation are obtained . Classical Sturm comparison theorem and some conclusions are generalized .

Key words: integro-differential equation；riccati integral equation；comparison theorem；non-oscillation ,

中图分类号:

O175．6

娄梅枝. 一般Volterra-Stieltjes微积分方程的比较定理[J]. 数学季刊, 2003, 18(4): 414-418.

LOU Mei-zhi . Comparison Theorem for General Volterra-Stieltjes Integro-differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(4): 414-418.

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