Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 7
Submit an article Journal homepage
133
Views
13
CrossRef citations to date
0
Altmetric
Articles

Inverse problems for the boundary value problem with the interior nodal subsets

Yu Ping WangDepartment of Applied Mathematics, Nanjing Forestry University, Nanjing, People’s Republic of China.View further author information
,
Ko Ya LienDepartment of Mathematics, Tamkang University, New Taipei City, Taiwan (R.O.C.).View further author information
&
Chung-Tsun ShiehDepartment of Mathematics, Tamkang University, New Taipei City, Taiwan (R.O.C.).Correspondence[email protected]
View further author information
Pages 1229-1239 | Received 25 Oct 2015, Accepted 24 Apr 2016, Published online: 13 May 2016

References

  • Freiling G, Yurko VA. Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter. Inverse Prob. 2010;26:055003 (17pp).
  • Browne PJ, Sleeman BD. Inverse nodal problem for Sturm–Liouville equation with eigenparameter dependent boundary conditions. Inverse Prob. 1996;12:377–381.
  • Chernozhukova AY, Freiling G. A uniqueness theorem for inverse spectral problems depending nonlinearly on the spectral parameter. Inverse Prob. Sci. Eng. 2009;17:777–785.
  • Koyunbakan H, Panakhov ES. Solution of discontinuous inverse nodal problem on a finite interval. Math. Comput. Model. 2006;44:204–209.
  • Mclaughlin JR, Polyakov PL. On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues. J. Differ. Equ. 1994;107:351–382.
  • Wang YP. Inverse problems for a class of Sturm–Liouville operators with the mixed spectral data. Oper. Martrices. Forthcoming.
  • Wang YP, Koyunbakan H. On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems. Acta Math. Sin.-English Ser. 2014;30:985–992.
  • Yang CF, Yang XP. Inverse nodal problem for the Sturm–Liouville equation with polynomially dependent on the eigenparameter. Inverse Prob. Sci. Eng. 2011;19:951–961.
  • Shen CL. On the nodal sets of the eigenfunctions of the string equation. SIAM J. Math. Anal. 1988;19:1419–1424.
  • McLaughlin JR. Inverse spectral theory using nodal points as data – a uniqueness ruesult. J. Differ. Equ. 1988;73:354–362.
  • Yang XF. A new inverse nodal problem. J. Differ. Equ. 2001;169:633–653.
  • Gesztesy F, Simon B. Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum. Trans. Am. Math. Soc. 2000;352:2765–2787.
  • Cheng YH, Law CK, Tsay J. Remarks on a new inverse nodal problem. J. Math. Anal. Appl. 2000;248:145–155.
  • Guo YX, Wei GS. Inverse problems: dense nodal subset on an interior subinterval. J. Differ. Equ. 2013;255:2002–2017.
  • Yang CF. Solution to open problems of Yang concerning inverse nodal problems. Isr. J. Math. 2014;203:283–298.
  • Wang WC, Cheng YH. An inverse problem related to a half-linear eigenvalue problem. Boundary Value Prob. 2014;65. doi:10.1186/1687-2770-2014-65.
  • Wang WC, Cheng YH. On the existence of sign-changingradial solutions to nonlinear p-Laplacian equations in Rn Nonlinear Anal. Ser. A: Theory Methods Appl. 2014;102:14–22.
  • Freiling G, Yurko VA. Inverse Sturm–Liouville problems and their applications. Huntington (NY): Nova Science Publishers; 2001.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.