The strong stability of the second-order operator-differential equations

  • Authors:

  • D. Bojović;B. Z. Popović;B. S. Jovanović

  • Affiliations:

  • Faculty of Science, University of Kragujevac, Kragujevac, Serbia and Montenegro;Faculty of Science, University of Kragujevac, Kragujevac, Serbia and Montenegro;Faculty of Mathematics, University of Belgrade, Belgrade, Serbia and Montenegro

  • Venue:
  • NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
  • Year:
  • 2004

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Abstract

In this paper we investigate the stability of the second-order operator-differential equation in Hilbert space, under perturbations of the operators, the initial conditions and right hand side of the equation. The estimates of strong stability in different norms are obtained. As an example, the strong stability of the hyperbolic problem is presented.