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Asymptotic integration of linear systems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 415)

Keywords

  • Diagonal Matrix
  • Characteristic Root
  • Constant Matrix
  • Fundamental Matrix
  • Asymptotic Integration

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References

  1. E.A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, New York, McGraw-Hill, 1955.

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  2. W. Coppel, Stability and Asymptotic Behavior of Differential Equations, Boston, Heath, 1965.

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  3. A. Devinatz, An asymptotic theorem for systems of linear differential equations, Trans. Amer. Math. Soc. 160(1971)353–363.

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  4. A. Devinatz, The deficiency index of a certain class of ordinary self-adjoint differential operators, Adv. in Math. 8(1972) 434–473.

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  5. M. Fedoryuk, Asymptotic methods in the theory of one-dimensional singular differential operators, Trans. Moskow Math. Soc., (1966) 333–386.

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  6. W. A. Harris, Jr. and D. A. Lutz, On the asymptotic integration of linear differential systems, J. Math. Anal. Appl. (to appear).

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  7. __________, Asymptotic integration of adiabatic oscillators (to appear).

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  8. P. Hartman, Ordinary Differential Equations, New York Wiley, 1964.

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  9. P. Hartman and A. Wintner, Asymptotic integrations of linear differential equations, Amer. J. Math. 77(1955) 45–86 and 932.

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© 1974 Springer-Verlag

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Harris, W.A., Lutz, D.S. (1974). Asymptotic integration of linear systems. In: Sleeman, B.D., Michael, I.M. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065524

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  • DOI: https://doi.org/10.1007/BFb0065524

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06959-1

  • Online ISBN: 978-3-540-37264-6

  • eBook Packages: Springer Book Archive