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Perturbation results and their applications to problems in structural dynamics

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Applications of Methods of Functional Analysis to Problems in Mechanics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 503))

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References

  1. T. Kato. “Perturbation Theory for Linear Operators’, Springer (1966)

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  2. T. Kato. “Accretive Operators and nonlinear evolution equations in Banach spaces”. Proc. Symp. Pure Math. Amer. Math. Soc. 18 Part 1 (1970) 138–161.

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  5. N. Okazawa. “Perturbations of Linear m-Accretive Operators”, Proc. Amer. Math. Soc. 37 (1973) 169–174.

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  6. R. Curtain and A.J. Pritchard, “The Infinite Dimensional Riccati Equation for Systems Defined by Evolution Operators”, SIAM J. of Control (to appear).

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  7. W. Blakeley and A.J. Pritchard. University of Warwick Control Theory Centre Report No. 40 (to appear).

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  8. J. La Salle and S. Lefschetz, “Stability by Liapunov’s Direct method”, Academic Press, (1961)

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  9. R.H. Plaut and E.F. Infante, “Bounds on Motions of some Lumped and Continuous Dynamic Systems”, Amer. Soc. Mech. Eng. Paper No. 71-APMW-3.

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  10. P.C. Parks, “A Stability Criterion for Panel Flutter via the Second Method of Liapunov”, AIAA J, (1966) 175–177.

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Author information

Authors and Affiliations

  1. Dept. of Engineering, University of Warwick, Warwick, UK

    A. J. Pritchard

  2. Dept. of Mathematics, The Polytechnic, Wolverhampton

    W. T. F. Blakeley

Authors
  1. A. J. Pritchard
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  2. W. T. F. Blakeley
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Paul Germain Bernard Nayroles

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© 1976 Springer-Verlag

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Pritchard, A.J., Blakeley, W.T.F. (1976). Perturbation results and their applications to problems in structural dynamics. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088778

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  • DOI: https://doi.org/10.1007/BFb0088778

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07629-2

  • Online ISBN: 978-3-540-38165-5

  • eBook Packages: Springer Book Archive

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