一阶时标动态方程周期边值问题的正解

数学季刊 ›› 2012, Vol. 27 ›› Issue (3): 337-343.

一阶时标动态方程周期边值问题的正解

School of Applied Mathematics, Guangdong University of Technology

收稿日期:2010-09-09 出版日期:2012-09-30 发布日期:2023-03-21
作者简介:SONG Chang-xiu(1975-), male, native of Laiyang, Shandong, an associate professor of Guangdong University of Technology, Ph.D., engages in functional diﬀerential equations.
基金资助:
Supported by the NNSF of China(10871052, 109010600)； Supported by the NSF of Guangdong Province(10151009001000032)

Positive Solutions for First-order PBVPs on Time Scales

School of Applied Mathematics, Guangdong University of Technology

Received:2010-09-09 Online:2012-09-30 Published:2023-03-21
About author:SONG Chang-xiu(1975-), male, native of Laiyang, Shandong, an associate professor of Guangdong University of Technology, Ph.D., engages in functional diﬀerential equations.
Supported by:
Supported by the NNSF of China(10871052, 109010600)； Supported by the NSF of Guangdong Province(10151009001000032)

摘要/Abstract

摘要： In this paper, the author studies the following nonlinear dynamic equation {x△(t) = r(t)x(σ(t)) + f(t, x(σ(t))), t ∈ [0, T ], x(0) = x(σ(T )). By applying and improving the generalized form of Leggett-Williams fixed point theorem, sufficient conditions are established for the existence of positive solutions.

关键词: time scale, positive solutions, fixed point

Abstract: In this paper, the author studies the following nonlinear dynamic equation {x△(t) = r(t)x(σ(t)) + f(t, x(σ(t))), t ∈ [0, T ], x(0) = x(σ(T )). By applying and improving the generalized form of Leggett-Williams fixed point theorem, sufficient conditions are established for the existence of positive solutions.

Key words: time scale, positive solutions, fixed point

中图分类号:

O175.8

宋常修. 一阶时标动态方程周期边值问题的正解[J]. 数学季刊, 2012, 27(3): 337-343.

SONG Chang-xiu. Positive Solutions for First-order PBVPs on Time Scales[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(3): 337-343.

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