ON THE INFLUENCE OF INTEGRAL PERTURBATIONS ON THE BOUNDEDNESS OF SOLUTIONS OF A FOURTH-ORDER LINEAR DIFFERENTIAL EQUATIONSAMANDAR ISKANDAROV , ELENA KOMARTSOVA (pp. 3-9)
Abstract.Sufficient conditions for the boundedness on the half-axis of all solutions of the fourth-order linear Volterra integro-differential equation are established. Moreover, it is shown that the corresponding linear homogeneous and inhomogeneous differential equations can have unbounded solutions on the half-axis. Illustrative examples are given.
Keywords: integro-differential equation, differential equation, boundedness of solutions, influence of integral perturbations