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Well-posed boundary problems for hamiltonian systems of limit point or limit circle type

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 964))

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References

  1. F. V. Atkinson, "Discrete and Continuous Boundary Problems," Academic Press, New York, 1964.

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

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  3. C. T. Fulton, Parameterizations of Titchmarsh's m(λ)-functions in the limit circle case, Trans. A.M.S. 229 (1977), 51–63.

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  4. D. B. Hinton and J. K. Shaw, On Titchmarsh-Weyl m(λ)-functions for linear Hamiltonian systems, J. Diff. Eqs. 40 (3) (1981), 316–342.

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  5. D. B. Hinton and J. K. Shaw, Parameterization of the m(λ)-function for a Hamiltonian system of limit circle type, submitted.

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  6. D. B. Hinton and J. K. Shaw, Titchmarsh-Weyl theory for Hamiltonian systems, in "Spectral Theory of Differential Operators," pp. 219–231, I. W. Knowles and R. T. Lewis (editors) North-Holland, New York, 1981.

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  7. D. B. Hinton and J. K. Shaw, On boundary value problems for Hamiltonian systems with two singular points, submitted.

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Authors
  1. J. K. Shaw
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  2. D. B. Hinton
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W.N. Everitt B.D. Sleeman

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© 1982 Springer-Verlag

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Shaw, J.K., Hinton, D.B. (1982). Well-posed boundary problems for hamiltonian systems of limit point or limit circle type. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065034

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  • DOI: https://doi.org/10.1007/BFb0065034

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11968-5

  • Online ISBN: 978-3-540-39561-4

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