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Multi-parameter problems

Invited Lectures

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

Keywords

  • Matrix Measure
  • Borel Subset
  • Singular Case
  • Order Ordinary Differential Equation
  • Expansion Theorem

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References

  1. F.V. ATKINSON, Multiparameter Spectral Theory, Bull. Amer. Math. Soc., 74 (1968), 1–27.

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  2. P.J. BROWNE, A Multi-parameter Eigenvalue Problem, J. Math. Anal. Appl., 38 (1972), 553–568.

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  3. P.J. BROWNE, A Singular Multi-parameter Eigenvalue Problem in Second Order Ordinary Differential Equations, J. Differential Equations, 12 (1972), 81–94.

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  4. P.J. BROWNE, Multi-parameter Spectral Theory, Indiana Univ. J. Math., to appear.

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  5. E.A. CODDINGTON and N. LEVINSON, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.

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  6. N. DUNFORD and J.T. SCHWARZ, Linear Operators Part II, Interscience, New York, 1963.

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  7. M. FAIERMAN, The Completeness and Expansion Theorems Associated with the Multi-parameter Eigenvalue Problem in Ordinary Differential Equations, J. Differential Equations, 5 (1969), 197–213.

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  8. E. MCSHANE, Integration, Princeton University Press, Princeton, 1944.

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  9. B.D. SLEEMAN, Completeness and Expansion Theorems for a Two-parameter Eigenvalue Problem in Ordinary Differential Equations using Variational Principles, J. Lond. Math. Soc. (2), 6 (1973), 705–712.

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© 1974 Springer-Verlag

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Browne, P.J. (1974). Multi-parameter problems. 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/BFb0065513

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  • DOI: https://doi.org/10.1007/BFb0065513

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06959-1

  • Online ISBN: 978-3-540-37264-6

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