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On The Existence of Solutions to One-Dimensional Fourth-Order Equations

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Ukrainian Mathematical Journal Aims and scope

By using variational methods and critical-point theorems, we prove the existence of nontrivial solutions for one-dimensional fourth-order equations. The multiplicity results are also presented.

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Author information

Authors and Affiliations

  1. Gonbad Kavous University, Gonbad Kavous, Iran

    S. Shokooh

  2. University of Mazandaran, Babolsar, Iran

    G. A. Afrouzi

  3. University of Bojnord, Bojnord, Iran

    A. Hadjian

Authors
  1. S. Shokooh
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  2. G. A. Afrouzi
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  3. A. Hadjian
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Corresponding author

Correspondence to A. Hadjian.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 11, pp. 1575–1588, November, 2020. Ukrainian DOI: 10.37863/umzh.v72i11.569.

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Shokooh, S., Afrouzi, G.A. & Hadjian, A. On The Existence of Solutions to One-Dimensional Fourth-Order Equations. Ukr Math J 72, 1820–1836 (2021). https://doi.org/10.1007/s11253-021-01891-5

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  • DOI: https://doi.org/10.1007/s11253-021-01891-5

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