高阶泛函微分方程解的振动性

数学季刊 ›› 2004, Vol. 19 ›› Issue (4): 407-411.

高阶泛函微分方程解的振动性

Teaching and Research Section of Mathematics and Physics, Kaifeng University, Kaifeng 475004, China

收稿日期:2003-04-15 出版日期:2004-12-30 发布日期:2024-03-06
作者简介:Shui-zhou(1962-),male(Huizu),native of Xiping,Henan,a lecturer of Kaifeng Univesity, engages in teaching and research of basic mathematics.

The Oscillation of the Solutions of Higher-order Functional Differential Equations

Teaching and Research Section of Mathematics and Physics, Kaifeng University, Kaifeng 475004, China

Received:2003-04-15 Online:2004-12-30 Published:2024-03-06
About author:Shui-zhou(1962-),male(Huizu),native of Xiping,Henan,a lecturer of Kaifeng Univesity, engages in teaching and research of basic mathematics.

摘要/Abstract

摘要： In this paper we study the oscillation of the solutions of higher-order functional differential equations, and have given the new integral conditions when equation (1) is oscillatory and extended some known results.x⁽ⁿ⁾(t)+p(t)x(g(t)) = 0, (1)where n is even number, p(t) ∈ C(R, [0, +∞)), g(t) ∈ C(R; R), ...

关键词: functional differential equation, oscillation

Abstract: In this paper we study the oscillation of the solutions of higher-order functional differential equations, and have given the new integral conditions when equation (1) is oscillatory and extended some known results.x⁽ⁿ⁾(t)+p(t)x(g(t)) = 0, (1)where n is even number, p(t) ∈ C(R, [0, +∞)), g(t) ∈ C(R; R), ...

Key words: functional differential equation, oscillation

中图分类号:

O175

白水周. 高阶泛函微分方程解的振动性[J]. 数学季刊, 2004, 19(4): 407-411.

BAI Shui-zhou. The Oscillation of the Solutions of Higher-order Functional Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(4): 407-411.

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