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Existence and Multiplicity of Periodic Solutions to Fractional p-Laplacian Equations

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Differential and Difference Equations with Applications (ICDDEA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 230))

Abstract

This paper deals with the existence and multiplicity of periodic solutions for the fractional p-Laplacian equations. The minimization argument and extended Clark’s theorem are applied to prove our results.

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Acknowledgements

Lin Li is supported by Research Fund of National Natural Science Foundation of China (No. 11601046), Chongqing Science and Technology Commission (No. cstc2016jcyjA0310), Chongqing Municipal Education Commission (No. KJ1600603) and Program for University Innovation Team of Chongqing (No. CXTDX201601026).

The work of Stepan Tersian is in the frames of the bilateral research project between Bulgarian and Serbian Academies of Sciences, Analytical and numerical methods for differential and integral equations and mathematical models of arbitrary (fractional or high) order and the Grant DN 12/4-2017 of the NRF in Bulgaria..

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Authors and Affiliations

  1. School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, People’s Republic of China

    Lin Li

  2. Department of Mathematics, University of Ruse, 7017, Ruse, Bulgaria

    Stepan Tersian

  3. Associate at Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria

    Stepan Tersian

Authors
  1. Lin Li
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  2. Stepan Tersian
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Correspondence to Stepan Tersian .

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Editors and Affiliations

  1. Departamento de Ciências Exactas e Engenharia, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain

    Tomás Caraballo

  3. Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, Hubei, China

    Peter Kloeden

  4. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA

    John R. Graef

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Li, L., Tersian, S. (2018). Existence and Multiplicity of Periodic Solutions to Fractional p-Laplacian Equations. In: Pinelas, S., Caraballo, T., Kloeden, P., Graef, J. (eds) Differential and Difference Equations with Applications. ICDDEA 2017. Springer Proceedings in Mathematics & Statistics, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-319-75647-9_39

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