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Some Qualitative Behavior of Solutions of General Class of Difference Equations

Author

Listed:
  • Osama Moaaz

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Dimplekumar Chalishajar

    (Department of Applied Mathematics, Virginia Military Institute (VMI) 435 Mallory Hall, Lexington, VA 24450, USA)

  • Omar Bazighifan

    (Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen)

Abstract

In this work, we consider the general class of difference equations (covered many equations that have been studied by other authors or that have never been studied before), as a means of establishing general theorems, for the asymptotic behavior of its solutions. Namely, we state new necessary and sufficient conditions for local asymptotic stability of these equations. In addition, we study the periodic solution with period two and three. Our results essentially extend and improve the earlier ones.

Suggested Citation

  • Osama Moaaz & Dimplekumar Chalishajar & Omar Bazighifan, 2019. "Some Qualitative Behavior of Solutions of General Class of Difference Equations," Mathematics, MDPI, vol. 7(7), pages 1-12, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:585-:d:244828
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    Citations

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    Cited by:

    1. Osama Moaaz & Rami Ahmad El-Nabulsi & Ali Muhib & Sayed K. Elagan & Mohammed Zakarya, 2021. "New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations," Mathematics, MDPI, vol. 9(19), pages 1-12, September.
    2. Meilin He & Mingjue Zhu & Xuyang Teng & Zhirui Hu & Wei Feng & Huina Song & Xiyuan Chen & Haiquan Wang, 2023. "Global Asymptotic Stability Analysis of Fixed Points for a Density-Dependent Single-Species Population Growth Model," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
    3. John R. Graef & Said R. Grace & Irena Jadlovská & Ercan Tunç, 2022. "Some New Oscillation Results for Higher-Order Nonlinear Differential Equations with a Nonlinear Neutral Term," Mathematics, MDPI, vol. 10(16), pages 1-11, August.
    4. Min Cai & Changpin Li, 2020. "Numerical Approaches to Fractional Integrals and Derivatives: A Review," Mathematics, MDPI, vol. 8(1), pages 1-53, January.
    5. Sorin Mureşan & Loredana Florentina Iambor & Omar Bazighifan, 2022. "New Applications of Perov’s Fixed Point Theorem," Mathematics, MDPI, vol. 10(23), pages 1-9, December.
    6. Osama Moaaz & Fahd Masood & Clemente Cesarano & Shami A. M. Alsallami & E. M. Khalil & Mohamed L. Bouazizi, 2022. "Neutral Differential Equations of Second-Order: Iterative Monotonic Properties," Mathematics, MDPI, vol. 10(9), pages 1-11, April.

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