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Abstract. In this paper, we discuss the stability and
boundedness of solutions of nonlinear delay differential equation of
fourth-order:
x(4)(t) + f1(x''(t))x'''(t) + f2(x''(t - r)) + g(x'(t - r)) + h(x(t - r)) = p(t,x(t),x(t-r),x'(t),x'(t-r),x''(t),x''(t-r),x'''(t)),
when p = 0 and, p ≠ 0
respectively, where r >0 is a
constant delay. In proving our main results, we use the Lyapunov functional
approach.
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Keywords: Nonlinear differential equation, fourth
order, delay, stability, boundedness, Lyapunov functional.
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