一阶泛函微分方程正周期解的存在唯一性

数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 454-461.

一阶泛函微分方程正周期解的存在唯一性

School of Mathematical Sciences, Shanxi University

收稿日期:2012-11-05 出版日期:2013-09-30 发布日期:2023-02-27
作者简介:HAN Qian-qian(1987-), female, native of Yuncheng, Shanxi, a student of Shanxi University, M.S.D., engages in diﬀerential equations; ZHAI Cheng-bo(1977-), male, native of Nanyang, Henan, an associate professor of Shanxi University, Ph.D., engages in diﬀerential equations and nonlinear functional analysis.
基金资助:
Supported by the Youth Science Foundation of China(11201272)； Supported by the Youth Science Foundation of Shanxi Province(2010021002-1)

Existence and Uniqueness of Positive Periodic Solutions for First-order Functional Diﬀerential Equations

School of Mathematical Sciences, Shanxi University

Received:2012-11-05 Online:2013-09-30 Published:2023-02-27
About author:HAN Qian-qian(1987-), female, native of Yuncheng, Shanxi, a student of Shanxi University, M.S.D., engages in diﬀerential equations; ZHAI Cheng-bo(1977-), male, native of Nanyang, Henan, an associate professor of Shanxi University, Ph.D., engages in diﬀerential equations and nonlinear functional analysis.
Supported by:
Supported by the Youth Science Foundation of China(11201272)； Supported by the Youth Science Foundation of Shanxi Province(2010021002-1)

摘要/Abstract

摘要： In this paper, we prove the existence and uniqueness of positive periodic solutions for first-order functional differential equation y‘(t) =-a(t)y(t) + f(t, y(t-τ(t))) + g(t) by using two fixed point theorems of general α-concave operators and homogeneous operators in ordered Banach spaces.

关键词: functional differential equation; , existence and uniqueness; , positive periodic solution, general a-concave operator, homogeneous operator

Abstract: In this paper, we prove the existence and uniqueness of positive periodic solutions for first-order functional differential equation y‘(t) =-a(t)y(t) + f(t, y(t-τ(t))) + g(t) by using two fixed point theorems of general α-concave operators and homogeneous operators in ordered Banach spaces.

Key words: functional differential equation; , existence and uniqueness; , positive periodic solution, general a-concave operator, homogeneous operator

中图分类号:

O175.1

韩倩倩, 翟成波. 一阶泛函微分方程正周期解的存在唯一性[J]. 数学季刊, 2013, 28(3): 454-461.

HAN Qian- qian, ZHAI Cheng- bo. Existence and Uniqueness of Positive Periodic Solutions for First-order Functional Diﬀerential Equations[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 454-461.

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