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Article Content:-
Abstract
We consider the boundedness solutions of a certain fourth-order nonlinear and nonhomogeneous differential equation. We prove that the solutions of this equation are bounded by Cauchy formula.
References:-
References
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2. Omeike M. O. 2007. Boundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing terms. Electronic Journal of Differential Equations, 2007(104): 1-8.
3. Tunç C., Ateş M. 2013. Boundedness of solutions to differential equations of fourth order with oscillatory restoring and forcing terms. Discrete Dynamics in Nature and Society, 2013(5).
4. Andres J. 1986. Boundedness of solutions of the third order differential equation with oscillatory restoring and forcing terms. Czechoslovak Mathematical Journal, 36(1): 1-6.
5. Ateş M. 2013. On the global stability properties and boundedness results of solutions of third-order nonlinear differential equations. Journal of Applied Mathematics, 2013(4).
6. Afuwape A. U., Adesina O. A. 2005. Frequency-domain approach to stability and periodic solutions of certain fourth-order non-linear differential equations. Nonlinear Studies, 12(3): 259-269.
7. Tiryaki A., Tunç C. 1996. On the boundedness and the stability results for the solutions of certain fourth order differential equations via the intrinsic method. Applied Mathematics and Mechanics, 17(11): 979-988.
8. Tiryaki A., Tunç C. 1996. Boundedness and the stability properties of solutions of certain fourth order differential equations via the intrinsic method. Analysis, 16(4): 325-334.
9. Tunç C. 2004. A note on the stability and boundedness results of solutions of certain fourth order differential equations. Applied Mathematics and Computation, 155(3): 837-843
10. Tunç C. 2007. An ultimate boundedness result for a certain system of fourth order nonlinear differential equations. Differential Equations and Applications, 5: 127-135.
2. Omeike M. O. 2007. Boundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing terms. Electronic Journal of Differential Equations, 2007(104): 1-8.
3. Tunç C., Ateş M. 2013. Boundedness of solutions to differential equations of fourth order with oscillatory restoring and forcing terms. Discrete Dynamics in Nature and Society, 2013(5).
4. Andres J. 1986. Boundedness of solutions of the third order differential equation with oscillatory restoring and forcing terms. Czechoslovak Mathematical Journal, 36(1): 1-6.
5. Ateş M. 2013. On the global stability properties and boundedness results of solutions of third-order nonlinear differential equations. Journal of Applied Mathematics, 2013(4).
6. Afuwape A. U., Adesina O. A. 2005. Frequency-domain approach to stability and periodic solutions of certain fourth-order non-linear differential equations. Nonlinear Studies, 12(3): 259-269.
7. Tiryaki A., Tunç C. 1996. On the boundedness and the stability results for the solutions of certain fourth order differential equations via the intrinsic method. Applied Mathematics and Mechanics, 17(11): 979-988.
8. Tiryaki A., Tunç C. 1996. Boundedness and the stability properties of solutions of certain fourth order differential equations via the intrinsic method. Analysis, 16(4): 325-334.
9. Tunç C. 2004. A note on the stability and boundedness results of solutions of certain fourth order differential equations. Applied Mathematics and Computation, 155(3): 837-843
10. Tunç C. 2007. An ultimate boundedness result for a certain system of fourth order nonlinear differential equations. Differential Equations and Applications, 5: 127-135.
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Ateş, M. (2023). Boundedness Solutions of a Certain Fourth-Order Nonlinear Differential Equation. International Journal Of Mathematics And Computer Research, 11(4), 3362-3363. https://doi.org/10.47191/ijmcr/v11i4.08