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Selfadjoint extension of ordinary differential operators

Part of the Lecture Notes in Mathematics book series (LNM,volume 419)

Keywords

  • Linear Differential Operator
  • Linear Hull
  • SELFADJOiNT Extension
  • Symmetric Boundary Condition
  • Ordinary Differential Operator

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References

  1. Глазман, Х. М.: Н твории сингулярных дифференциальных операторов.-Успени Мат. Наун (Н.С.) 5:6 (40), 1950, pp.102–135.

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  2. Glazman, I. M.: On the theory of singular differential operators.-Transl. Amer. Math. Soc. (1) 4, 1962, pp.331–372. [English translation of [4].]

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  3. Kimura, T., and M. Takahasi: Sur les opérateurs différentiels ordinaires linéaires formellement autoadjoints. I.-Funkcial. Ekvac. 7, 1965, pp.35–90.

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  4. Kodaira, K.: On ordinary differential equations of any even order and the corresponding eigenfunction expansions.-Amer. J. Math. 72, 1950, pp.502–544.

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  5. Pleijel, Å.: Complementary remarks about the limit point and limit circle theory.-Ark. Mat. 8, 1971, pp.45–47.

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  6. Weyl, H.: Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen.-Math. Ann. 68, 1910, pp.220–269.=Selecta Hermann Weyl, pp.9–58. Birkhäuser Verlag, Basel / Stuttgart, 1956.=Gesammelte Abhandlungen. I, pp.248–297. Springer-Verlag, Berlin / Heidelberg / New York, 1968.

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© 1974 Springer-Verlag

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Bennewitz, C., Pleijel, Å. (1974). Selfadjoint extension of ordinary differential operators. In: Lehto, O., Louhivaara, I.S., Nevanlinna, R. (eds) Topics in Analysis. Lecture Notes in Mathematics, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064708

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  • DOI: https://doi.org/10.1007/BFb0064708

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06965-2

  • Online ISBN: 978-3-540-37907-2

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