Convergence of solutions of some fourth order nonlinear differential equations

摘要

In this paper, we prove results on the convergence of solutions of a general fourth-order non-linear differential equations of the form(0.1)in which , , , and are continuous in their respective arguments. While using the Lyapunov method, the restriction of the incrementary ratio of in the closed sub-interval of the Routh–Hurwitz interval is used. The results generalize and give fourth-order extensions of earlier results.