Abstract
In this paper we use the fixed point index to establish the existence of positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. Concave and convex functions are adopted to characterize the coupling behavior of our nonlinearities.
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Research supported by the National Natural Science Foundation of China (Grant no. 11601048), Natural Science Foundation of Chongqing (Grant no. cstc2016jcyjA0181), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant no. KJ1703050, KJ1703043), Natural Science Foundation of Chongqing Normal University (Grant no. 16XYY24, 15XLB011).
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Xu, J., Goodrich, C.S. & Cui, Y. Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. RACSAM 113, 1343–1358 (2019). https://doi.org/10.1007/s13398-018-0551-7
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DOI: https://doi.org/10.1007/s13398-018-0551-7
Keywords
- Discrete fractional boundary value problems
- Positive solution
- Fixed point index
- Concave and convex functions