Positive solutions for a system of nonlinear semipositone fractional \(q\)-difference equations with \(q\)-integral boundary conditions
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Authors
Wei Cheng
- School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China.
Jiafa Xu
- School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China.
Yujun Cui
- State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province, China.
- Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, China.
Abstract
In this paper, by virtue of fixed point index on cones, we obtain
two existence theorems of positive solutions for a system of
nonlinear semipositone fractional \(q\)-difference equations with
\(q\)-integral boundary conditions. Concave functions and nonnegative matrices are used to characterize the
coupling behavior of our nonlinearities.
Share and Cite
ISRP Style
Wei Cheng, Jiafa Xu, Yujun Cui, Positive solutions for a system of nonlinear semipositone fractional \(q\)-difference equations with \(q\)-integral boundary conditions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4430--4440
AMA Style
Cheng Wei, Xu Jiafa, Cui Yujun, Positive solutions for a system of nonlinear semipositone fractional \(q\)-difference equations with \(q\)-integral boundary conditions. J. Nonlinear Sci. Appl. (2017); 10(8):4430--4440
Chicago/Turabian Style
Cheng, Wei, Xu, Jiafa, Cui, Yujun. "Positive solutions for a system of nonlinear semipositone fractional \(q\)-difference equations with \(q\)-integral boundary conditions." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4430--4440
Keywords
- q-difference equation
- q-integral boundary conditions
- fixed point index
- positive solution
- concave function.
MSC
- 34B10
- 34B18
- 34A34
- 45G15
- 45M20
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