Skip to main content
SpringerLink
Log in

Two-Interval Even Order Differential Operators in Direct Sum Spaces

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

We characterize the domains of all self-adjoint extensions of the two-interval minimal operator which associated with two general even order linear ordinary differential expressions in terms of real-parameter solutions of the two differential equations. This is for endpoints which are regular or singular and for arbitrary deficiency index.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Everitt W.N., Zettl A.: Sturm-Liouville differential operators in direct sum spaces. Rocky Mt. J. Math. 16, 497–516 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  2. Boyd J.P.: Sturm-Liouville eigenvalue problems with an interior pole. J. Math. Phys. 22(8), 1575–1590 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  3. Gesztesy F., Kirsch W.: One-dimensional Schrödinger operators with interactions singular on a discrete set. J. Reine Angew. Math. 362, 28–50 (1985)

    MathSciNet  MATH  Google Scholar 

  4. Wang A., Sun J., Zettl A.: Characterization of domains of self-adjoint ordinary differential operators. J. Differ. Equ. 246, 1600–1622 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Hao, X., Sun, J., Wang, A., Zettl, A.: Characterization of Domains of Self-Adjoint Ordinary Differential Operators II. (2011, accepted by Results in Mathematics)

  6. Suo, J., Wang, W.Y., Zettl, A., Zhou, L.: Characterization of Domains of Self-Adjoint Ordinary Differential Operators in Direct Sum Spaces. Preprint

  7. Everitt W.N., Zettl A.: Differential operators generated by a countable number of quasi-differential expressions on the line. Proc. Lond. Math. Soc. 3(64), 524–544 (1992)

    Article  MathSciNet  Google Scholar 

  8. Zettl, A.: Sturm-Liouville theory. In: Mathematical Surveys and Monographs, vol. 121. American Mathematical Society (2005)

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, Inner Mongolia University, Hohhot, 010021, China

    Jianqing Suo & Wanyi Wang

Authors
  1. Jianqing Suo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wanyi Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jianqing Suo.

Additional information

This paper is in final form and no version of it will be submitted for publication elsewhere.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Suo, J., Wang, W. Two-Interval Even Order Differential Operators in Direct Sum Spaces. Results. Math. 62, 13–32 (2012). https://doi.org/10.1007/s00025-011-0126-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00025-011-0126-9

Mathematics Subject Classification (2010)

Keywords

Search

Navigation