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Oscillation of a Class of Fourth Order Dynamic Equations With Quasi Derivatives

Ramireddy Pasupula

Associate Professor of Mathematics, Govt. Degree College for Women, Sangareddy, Sangareddy, India-502001.

47-54

Vol: 14, Issue: 3, 2024

Receiving Date: 2024-05-18 Acceptance Date:

2024-08-19

Publication Date:

2024-09-02

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http://doi.org/10.37648/ijrst.v14i03.007

Abstract

In this paper, the author studied, oscillatory and asymptotic behavior of bounded solutions of a class of fourth order dynamic equation with quasi-derivative of the form

Keywords: dynamic equation; neutral; delay; asymptotic; oscillation; positive and negative coefficients; bounded solution.

References

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  2. Bohner, M., & Peterson, A. (2003). Advances in dynamic equations on time scales. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8230-9
  3. Gyori, I., & Ladas, G. (1991). Oscillation theory of delay differential equations with applications. Clarendon Press.
  4. Kusano, T., & Naito, M. (1946). On fourth order non-linear oscillations. Journal of the London Mathematical Society, 14(2), 91–105.
  5. Panigrahi, S., & Rami Reddy, P. (2013). Dynamics of continuous, discrete and impulsive system series A: Mathematical analysis. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 20, 143–163.
  6. Panigrahi, S., Graef, J. R., & Rami Reddy, P. (2013). Oscillation results for fourth order non-linear neutral dynamic equations. Communications in Mathematical Analysis, 15(1), 11–28.
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