The Editors-in-Chief have retracted this article [1] because it overlaps with articles by other authors that were simultaneously under consideration at different journals [2, 3]. The article also shows evidence of authorship manipulation. Additionally, contrary to the statement in the Acknowledgements section that “The Schrödingerean manifold theorem in this paper was proved while the third author was at the Norwegian University of Science and Technology as a visiting scholar”, the Norwegian University of Science and Technology confirmed that he has not been affiliated with their institution.
References
Lai, M., Sun, J., Li, W.: Stability and direction for a class of Schrödingerean difference equations with delay. Adv. Differ. Equ. 2017, 87 (2017). https://doi.org/10.1186/s13662-017-1132-3
Jiangang, Z., Jiarong, L., Wenju, D., Yandong, C., Hongwei, L.: Hopf bifurcation analysis and its preliminary control in a Hasting–Powell food chain model with two different delays. J. Nonlinear Sci. Appl. 10(8), 4181–4196 (2017)
Wang, J., Roncalver, H.: New applications of Schrödinger type inequalities to the existence and uniqueness of Schrödingerean equilibrium. J. Inequal. Appl. 2017, 61 (2017). https://doi.org/10.1186/s13660-017-1332-0
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Lai, M., Sun, J. & Li, W. Retraction Note to: Stability and direction for a class of Schrödingerean difference equations with delay. Adv Differ Equ 2020, 181 (2020). https://doi.org/10.1186/s13662-020-02653-6
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DOI: https://doi.org/10.1186/s13662-020-02653-6