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The expansion theorem in multi-parameter sturm-liouville theory

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

Keywords

  • Finite Number
  • Eigenfunction Expansion
  • Double Series
  • Type Boundary Condition
  • Expansion Theorem

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References

  1. D. Hilbert, "Grundzüge Einer Allgemeinen Theorie der Linearen Integralgleichungen," Chelsea, New York, 1953.

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  2. A. C. Dixon, Harmonic expansions of functions of two variables, Proc. London Math. Soc. (2) 5 (1907), 411–478.

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  3. M. Faierman, An eigenfunction expansion for a two-parameter system of ordinary differential equations of the second order, (to appear).

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

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  5. E. L. Ince, "Ordinary Differential Equations," Dover, New York, 1956.

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  6. H. Poincaré, Sur les résidus des intégrales doubles, Acta Math. 9 (1887), 321–380.

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© 1974 Springer-Verlag

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Faierman, M. (1974). The expansion theorem in multi-parameter sturm-liouville theory. 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/BFb0065520

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  • DOI: https://doi.org/10.1007/BFb0065520

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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