Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems
Using the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.
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Format: | Article |
Language: | English |
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Wiley
2018-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2018/6835028 |
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author | Cheng Chen Jiafa Xu Donal O’Regan Zhengqing Fu |
author_facet | Cheng Chen Jiafa Xu Donal O’Regan Zhengqing Fu |
author_sort | Cheng Chen |
collection | DOAJ |
description | Using the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms. |
format | Article |
id | doaj-art-d392a3f6c7524947a3aded659876810a |
institution | Kabale University |
issn | 2314-8896 2314-8888 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
spelling | doaj-art-d392a3f6c7524947a3aded659876810a2025-02-03T06:01:24ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/68350286835028Positive Solutions for a System of Semipositone Fractional Difference Boundary Value ProblemsCheng Chen0Jiafa Xu1Donal O’Regan2Zhengqing Fu3School of Mathematical Sciences, Chongqing Normal University, Chongqing 40133, ChinaSchool of Mathematical Sciences, Chongqing Normal University, Chongqing 40133, ChinaSchool of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IrelandCollege of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao 266590, ChinaUsing the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.http://dx.doi.org/10.1155/2018/6835028 |
spellingShingle | Cheng Chen Jiafa Xu Donal O’Regan Zhengqing Fu Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems Journal of Function Spaces |
title | Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems |
title_full | Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems |
title_fullStr | Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems |
title_full_unstemmed | Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems |
title_short | Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems |
title_sort | positive solutions for a system of semipositone fractional difference boundary value problems |
url | http://dx.doi.org/10.1155/2018/6835028 |
work_keys_str_mv | AT chengchen positivesolutionsforasystemofsemipositonefractionaldifferenceboundaryvalueproblems AT jiafaxu positivesolutionsforasystemofsemipositonefractionaldifferenceboundaryvalueproblems AT donaloregan positivesolutionsforasystemofsemipositonefractionaldifferenceboundaryvalueproblems AT zhengqingfu positivesolutionsforasystemofsemipositonefractionaldifferenceboundaryvalueproblems |