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Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses

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Abstract

In this paper, we investigate periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses. Several new existence results are obtained under different conditions via fixed point methods. Finally, two examples are given to illustrate our main results.

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Acknowledgements

The authors thank the referees for their careful reading of the manuscript and insightful comments, which helped to improve the quality of the paper. We would also like to acknowledge the valuable comments and suggestions from the editors, which vastly contributed to improve the presentation of the paper.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou, 550018, P.R. China

    JinRong Wang

  2. Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, P.R. China

    JinRong Wang & Xuezhu Li

Authors
  1. JinRong Wang
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  2. Xuezhu Li
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Correspondence to JinRong Wang or Xuezhu Li.

Additional information

This work is partially supported by the National Natural Science Foundation of China (11201091), Key Projects of Science and Technology Research in the Chinese Ministry of Education (211169), Key Support Subject (Applied Mathematics), Key Project on the Reforms of Teaching Contents and Course System of Guizhou Normal College and Doctor Project of Guizhou Normal College (13BS010).

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Wang, J., Li, X. Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses. J. Appl. Math. Comput. 46, 321–334 (2014). https://doi.org/10.1007/s12190-013-0751-4

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  • DOI: https://doi.org/10.1007/s12190-013-0751-4

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