非线性泛函微分方程的有界非振动解

数学季刊 ›› 2011, Vol. 26 ›› Issue (4): 590-595.

非线性泛函微分方程的有界非振动解

1. Department of Information and Computing Science, Guangxi University of Technology2. School of Mathematics and Computational Science, Xiangtan University

收稿日期:2009-09-05 出版日期:2011-12-30 发布日期:2023-04-14
作者简介:WANG Xiao-yan(1963-), male, native of Bobai, Guangxi, a lecturer of Guangxi University of Technology, M.S.D., engages in differential equation; LI Ming-jun(1968-), male, native of Yiyang, Hunan, a professor of Xingtan University, Ph.D., engages in computational fluid mechanics.
基金资助:
Supported by the Key NSF of China(40333031)； Supported by the NSF of Education Department of Hunan Province(04C646)；

Bounded Nonoscillatory Solutions of Nonlinear Functional Differential Equations

1. Department of Information and Computing Science, Guangxi University of Technology2. School of Mathematics and Computational Science, Xiangtan University

Received:2009-09-05 Online:2011-12-30 Published:2023-04-14
About author:WANG Xiao-yan(1963-), male, native of Bobai, Guangxi, a lecturer of Guangxi University of Technology, M.S.D., engages in differential equation; LI Ming-jun(1968-), male, native of Yiyang, Hunan, a professor of Xingtan University, Ph.D., engages in computational fluid mechanics.
Supported by:
Supported by the Key NSF of China(40333031)； Supported by the NSF of Education Department of Hunan Province(04C646)；

摘要/Abstract

摘要： In this paper, we obtain some nonoscillatory theories of the functional differential equation (r(t)ψ(x(t))x (t)) + f(t, x(t), x(σ(t))) = 0, t ≥ t₀, where r ∈ C¹([t₀, ∞); (0, ∞)), ψ∈ C¹(R, R) and f ∈ C([t₀, ∞) × R × R, R).

关键词: nonoscillatory solution, nonlinear term, condensing operator

Abstract: In this paper, we obtain some nonoscillatory theories of the functional differential equation (r(t)ψ(x(t))x (t)) + f(t, x(t), x(σ(t))) = 0, t ≥ t₀, where r ∈ C¹([t₀, ∞); (0, ∞)), ψ∈ C¹(R, R) and f ∈ C([t₀, ∞) × R × R, R).

Key words: nonoscillatory solution, nonlinear term, condensing operator

中图分类号:

O175.14

王小炎, 李明军, 邓继勤. 非线性泛函微分方程的有界非振动解[J]. 数学季刊, 2011, 26(4): 590-595.

WANG Xiao-yan, LI Ming-jun, DENG Ji-qin. Bounded Nonoscillatory Solutions of Nonlinear Functional Differential Equations [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 590-595.

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