具有半正非线性项的分数阶差分方程组边值问题的正解

数学物理学报 ›› 2020, Vol. 40 ›› Issue (1): 132-145.

具有半正非线性项的分数阶差分方程组边值问题的正解

徐家发()

^{重庆师范大学数学科学学院重庆 401331}

收稿日期:2018-04-02 出版日期:2020-02-26 发布日期:2020-04-08
作者简介:徐家发, E-mail:xujiafa292@sina.com
基金资助:
国家自然科学基金(11601048);重庆市教委项目(KJQN201900539);重庆师范大学青年拔尖人才资助项目(02030307/0040)

Positive Solutions for a System of Boundary Value Problems of Fractional Difference Equations Involving Semipositone Nonlinearities

Jiafa Xu()

^{School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331}

Received:2018-04-02 Online:2020-02-26 Published:2020-04-08
Supported by:
国家自然科学基金(11601048);重庆市教委项目(KJQN201900539);重庆师范大学青年拔尖人才资助项目(02030307/0040)

摘要/Abstract

摘要：

该文运用不动点指数研究一类具有半正非线性项的分数阶差分方程组边值问题的正解.

关键词: 分数阶差分方程组, 边值问题, 不动点指数, 正解

Abstract:

In this paper, we use the fixed point index to investigate the existence of positive solutions for a system of boundary value problems of fractional difference equations involving semipositone nonlinearities.

Key words: Fractional difference equations, Boundary value problems, Fixed point index, Positive solutions

中图分类号:

O175.7

徐家发. 具有半正非线性项的分数阶差分方程组边值问题的正解[J]. 数学物理学报, 2020, 40(1): 132-145.

Jiafa Xu. Positive Solutions for a System of Boundary Value Problems of Fractional Difference Equations Involving Semipositone Nonlinearities[J]. Acta mathematica scientia,Series A, 2020, 40(1): 132-145.

参考文献 16

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