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The Strong Stability of the Second-Order Operator-Differential Equations

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Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

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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.

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References

  1. Bojović, D., Jovanović, B.S., Matus, P.P.: Strong stability of the first-order differential-operator equation. Differents. Uravn. 40(5), 655–661 (2004) (in Russian)

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Author information

Authors and Affiliations

  1. Faculty of Science, University of Kragujevac, R. Domanovića 12, 34000, Kragujevac, Serbia and Montenegro

    D. Bojović & B. Z. Popović

  2. Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000, Belgrade, Serbia and Montenegro

    B. S. Jovanović

Authors
  1. D. Bojović
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  2. B. Z. Popović
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  3. B. S. Jovanović
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Editor information

Editors and Affiliations

  1. Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, P.O. Box, Hong Kong

    Zhilin Li

  2. Department of Mathematics, University of Rousse, 7017, Rousse, Bulgaria

    Lubin Vulkov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2005 Springer-Verlag Berlin Heidelberg

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Bojović, D., Popović, B.Z., Jovanović, B.S. (2005). The Strong Stability of the Second-Order Operator-Differential Equations. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_21

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  • DOI: https://doi.org/10.1007/978-3-540-31852-1_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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