V.13 N.1 2022

  • ON THE INFLUENCE OF INTEGRAL PERTURBATIONS ON THE BOUNDEDNESS OF SOLUTIONS OF A FOURTH-ORDER LINEAR DIFFERENTIAL EQUATION
    SAMANDAR 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

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