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Differential subspaces associated with pairs of ordinary differential operators

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Part of the Lecture Notes in Mathematics book series (LNM,volume 703)

Keywords

  • Hilbert Space
  • Spectral Theory
  • Eigenfunction Expansion
  • Generalize Boundary Condition
  • Linear Manifold

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References

  1. C. Bennewitz, Spectral theory for pairs of differential operators, Ark. Mat. 15 (1977), 33–61.

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  2. F. Brauer, Singular self-adjoint boundary value problems for the differential equation Lx=λMx, Trans. Amer. Math. Soc. 88 (1958), 331–345.

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  3. F. Brauer, Spectral theory for the differential equation Lu=λMu, Canad. J. Math. 10 (1958), 413–428.

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  5. F. Browder, Eigenfunction expansions for non-symmetric partial differential operators, I, Amer. J. Math. 80 (1958), 365–381.

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  6. F. Browder, Eigenfunction expansions for non-symmetric partial differential operators, II, Amer. J. Math. 81 (1959), 1–22.

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  7. E.A. Coddington and A. Dijksma, Self-adjoint subspaces and eigenfunction expansions for ordinary differential subspaces, J. Differential Equations 20 (1976), 473–526.

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  8. E.A. Coddington and A. Dijksma, Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces, to appear in Ann. Mat. Pura Appl.

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  9. Å. Pleijel, Spectral theory for pairs of formally selfadjoint ordinary differential operators, J. Indian Math. Soc. 34 (1971), 259–268.

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© 1979 Spring-Verlag

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Coddington, E.A. (1979). Differential subspaces associated with pairs of ordinary differential operators. In: Fábera, J. (eds) Equadiff IV. Lecture Notes in Mathematics, vol 703. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067257

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  • DOI: https://doi.org/10.1007/BFb0067257

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09116-5

  • Online ISBN: 978-3-540-35519-9

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