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Important Criteria for Asymptotic Properties of Nonlinear Differential Equations

Author

Listed:
  • Ahmed AlGhamdi

    (Department of Computer Engineering, College of Computers and Information Technology, Taif University, Taif 21944, Saudi Arabia
    These authors contributed equally to this work.)

  • Omar Bazighifan

    (Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
    Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
    These authors contributed equally to this work.)

  • Rami Ahmad El-Nabulsi

    (Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Athens Institute for Education and Research, Mathematics and Physics Divisions, 8 Valaoritou Street, Kolonaki, 10671 Athens, Greece
    These authors contributed equally to this work.)

Abstract

In this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject. We use the Riccati technique and the integral averaging technique to prove our results. As proof of the effectiveness of the new criteria, we offer more than one practical example.

Suggested Citation

  • Ahmed AlGhamdi & Omar Bazighifan & Rami Ahmad El-Nabulsi, 2021. "Important Criteria for Asymptotic Properties of Nonlinear Differential Equations," Mathematics, MDPI, vol. 9(14), pages 1-9, July.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1659-:d:594275
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    Citations

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    Cited by:

    1. Fasma Diele, 2022. "Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges," Mathematics, MDPI, vol. 10(2), pages 1-3, January.

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