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Asymptotic integration of linear systems

  • W. A. HarrisJr
  • D. S. Lutz
Invited Lectures
Part of the Lecture Notes in Mathematics book series (LNM, volume 415)

Keywords

Diagonal Matrix Characteristic Root Constant Matrix Fundamental Matrix Asymptotic Integration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    E.A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, New York, McGraw-Hill, 1955.zbMATHGoogle Scholar
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    W. Coppel, Stability and Asymptotic Behavior of Differential Equations, Boston, Heath, 1965.zbMATHGoogle Scholar
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    A. Devinatz, An asymptotic theorem for systems of linear differential equations, Trans. Amer. Math. Soc. 160(1971)353–363.MathSciNetzbMATHGoogle Scholar
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    A. Devinatz, The deficiency index of a certain class of ordinary self-adjoint differential operators, Adv. in Math. 8(1972) 434–473.MathSciNetCrossRefzbMATHGoogle Scholar
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    M. Fedoryuk, Asymptotic methods in the theory of one-dimensional singular differential operators, Trans. Moskow Math. Soc., (1966) 333–386.Google Scholar
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    W. A. Harris, Jr. and D. A. Lutz, On the asymptotic integration of linear differential systems, J. Math. Anal. Appl. (to appear).Google Scholar
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    __________, Asymptotic integration of adiabatic oscillators (to appear).Google Scholar
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    P. Hartman, Ordinary Differential Equations, New York Wiley, 1964.zbMATHGoogle Scholar
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    P. Hartman and A. Wintner, Asymptotic integrations of linear differential equations, Amer. J. Math. 77(1955) 45–86 and 932.MathSciNetCrossRefzbMATHGoogle Scholar
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    N. Levinson, The asymptotic nature of solutions of linear differential equations, Duke Math. J. 15(1948) 111–126.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • W. A. HarrisJr
  • D. S. Lutz

There are no affiliations available

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