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Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities

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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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Authors and Affiliations

  1. School of Mathematical Sciences, Chongqing Normal University, Chongqing, 401331, China

    Jiafa Xu

  2. Department of Mathematics, Creighton Preparatory School, Omaha, NE, 68114, USA

    Christopher S Goodrich

  3. State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao, 266590, China

    Yujun Cui

Authors
  1. Jiafa Xu
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  2. Christopher S Goodrich
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  3. Yujun Cui
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Corresponding author

Correspondence to Jiafa Xu.

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The authors declare that they have no competing interests.

Additional information

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

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