Bounded Solutions of the Second Order Differential Equation Ẍ+f(x)Ẋ+g(x)=u(t)

Authors

Saad N. Al–Azzawi
Na'mh A. Abid
Zainab M. Joudha

Abstract

In this paper we prove the boundedness of the solutions and their derivatives of the second order ordinary differential equation n X ̈ +f(x) X ̇ +g(x)=u(t), under certain conditions on f,g and u. Our results are generalization of those given in [1].

Keywords

Boundedness of solutions, Second order ordinary differential equations, Systems of differential equations, limit cycles.

Article Type

Article

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Al–Azzawi, Saad N.; Abid, Na'mh A.; and Joudha, Zainab M. (2015) "Bounded Solutions of the Second Order Differential Equation Ẍ+f(x)Ẋ+g(x)=u(t)," Baghdad Science Journal: Vol. 12: Iss. 4, Article 21.
DOI: https://doi.org/10.21123/bsj.2015.12.4.822-825