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Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties

Author

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  • Agarwal, Ravi P.
  • Bohner, Martin
  • Li, Tongxing
  • Zhang, Chenghui

Abstract

We establish some new criteria for oscillation and asymptotic behavior of solutions of even-order half-linear advanced differential equations. We study the case of canonical and the case of noncanonical equations subject to various conditions.

Suggested Citation

  • Agarwal, Ravi P. & Bohner, Martin & Li, Tongxing & Zhang, Chenghui, 2015. "Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 481-490.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:481-490
    DOI: 10.1016/j.amc.2015.05.008
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    Citations

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    Cited by:

    1. Omar Bazighifan & Nawa Alshammari & Khalil S. Al-Ghafri & Loredana Florentina Iambor, 2024. "Differential Equations of Fourth-Order with p -Laplacian-like Operator: Oscillation Theorems," Mathematics, MDPI, vol. 12(22), pages 1-10, November.
    2. Zuhur Alqahtani & Belgees Qaraad & Areej Almuneef & Higinio Ramos, 2024. "Asymptotic and Oscillatory Analysis of Second-Order Differential Equations with Distributed Deviating Arguments," Mathematics, MDPI, vol. 12(22), pages 1-19, November.
    3. Chatzarakis, G.E. & Džurina, J. & Jadlovská, I., 2019. "New oscillation criteria for second-order half-linear advanced differential equations," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 404-416.
    4. Abdulaziz Khalid Alsharidi & Ali Muhib, 2024. "Investigating Oscillatory Behavior in Third-Order Neutral Differential Equations with Canonical Operators," Mathematics, MDPI, vol. 12(16), pages 1-15, August.
    5. Rongrong Guo & Qingdao Huang & Qingmin Liu, 2021. "Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term," Mathematics, MDPI, vol. 9(17), pages 1-11, August.
    6. Jozef Dzurina & Blanka Baculikova & Irena Jadlovska, 2020. "Oscillatory solutions of fourth order advanced trinomial differential equations," Mathematische Nachrichten, Wiley Blackwell, vol. 293(6), pages 1110-1119, June.

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