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Infinitely Many Solutions for Second-Order Impulsive Differential Inclusions with Relativistic Operator

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Abstract

In this paper, the boundary value problem of second-order impulsive differential inclusion involving relativistic operator is studied. Infinitely many nonnegative solutions are obtained by using non-smooth critical point theorem for locally Lipschitz functionals.

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Authors and Affiliations

  1. College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, 266590, People’s Republic of China

    Suiming Shang & ZhanBing Bai

  2. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, People’s Republic of China

    Yu Tian & Yue Yue

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  1. Suiming Shang
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  2. Yu Tian
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  3. ZhanBing Bai
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  4. Yue Yue
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Correspondence to Suiming Shang.

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This work was supported by the National Natural Science Foundation of China (11571207).

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Shang, S., Tian, Y., Bai, Z. et al. Infinitely Many Solutions for Second-Order Impulsive Differential Inclusions with Relativistic Operator. Qual. Theory Dyn. Syst. 20, 47 (2021). https://doi.org/10.1007/s12346-021-00481-x

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