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ON STABILITY AND BOUNDEDNESS OF SOLUTIONS OF CERTAIN FOURTH ORDER DELAY DIFFERENTIAL EQUATION

In this paper, sufficient criteria which guarantee the existence of uniform asymptotic stability and boundedness of solution of a scalar real fourth-order delay differential equation were established with the aid of a suitable Lyapunov function. With the Lyapunov function, conditions on the nonlinear terms to guarantee stability and boundedness of the solution and its derivatives were given. Our results include and improve on the existing results in the literature.