Positive solutions for a first-order discrete fractional boundary value problem with semipositone nonlinearity
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Positive solutions for a first-order discrete fractional boundary value problem with semipositone nonlinearity
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 56, Issue 4, Pages: 23-27(2017)
作者机构:
重庆师范大学数学科学学院,重庆,401331
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Published:2017,
Published Online:25 September 2017,
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CHENG Wei, XU Jiafa. Positive solutions for a first-order discrete fractional boundary value problem with semipositone nonlinearity. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(4):23-27(2017)
DOI:
CHENG Wei, XU Jiafa. Positive solutions for a first-order discrete fractional boundary value problem with semipositone nonlinearity. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(4):23-27(2017)DOI:
Positive solutions for a first-order discrete fractional boundary value problem with semipositone nonlinearity
A first-order discrete fractional boundary value problem with semipositone nonlinearity is studied. By virtue of some inequalities associated with Green function
and using the fixed point index
the existence of positive solutions is obtained for the problem
with the nonlinearity grows both superlinearly and sublinearly. The results extend known results.
关键词
离散分数阶边值问题不动点指数正解半正非线性项
Keywords
discrete fractional boundary value problemfixed point indexpositive solutionsemipositone nonlinearity
The Existence of Non-constant Positive Solution of A Prey-predator Systemwith Crossdiffusion
The Existence and Multiplicity of Positive Solutions of Generalized p-Laplacian Boundary Value Problems
Positive solutions of discrete Φ-Laplacian problems
Related Author
HOU Xiumei
BAI Dingyong
ZUO Minxian
LI Yanming
BAI Dingyong
Related Institution
School of Mathematics and Computational Science, Sun Yatsen University
School of Mathematics and Information Science∥Key Laboratory of Mathematics and Interdisciplinary Science of Guangdong Higher Education Institutes, Guangzhou University
Department of Information Processing and Control Engineering,Lanzhou Petrochemical College of Vocational Technology