Asymptotic Behavior of The Third-Order Damped Nonlinear Differential Equations with Distributed Deviating Arguments

  • Authors

    • V. G. Priyadharshini PG and Research Department of Mathematics, Arignar Anna Government Arts College, Namakkal - 637002, Tamil Nadu, India
    • V. Sivakumar PG and Research Department of Mathematics, Arignar Anna Government Arts College, Namakkal - 637002, Tamil Nadu, India
    https://doi.org/10.14419/qy96k684

    Received date: May 16, 2025

    Accepted date: June 22, 2025

    Published date: August 15, 2025

  • Oscillation; Nonlinear, Differential Equations; Third-Order; Distribution Deviating Arguments; Damping

  • Abstract

    In this article, we investigate the oscillation of a class of third-order damped nonlinear differential equations with distribution deviating arguments. Using the integral average and generalized Riccati technique, new sufficient criteria for oscillation of the equations’ solutions are ‎established. The main results are illustrated by some examples‎.

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  • How to Cite

    Priyadharshini, V. G. ., & Sivakumar, V. . (2025). Asymptotic Behavior of The Third-Order Damped Nonlinear Differential Equations with Distributed Deviating Arguments. International Journal of Basic and Applied Sciences, 14(4), 445-452. https://doi.org/10.14419/qy96k684