EN
An inverse nodal problem for differential pencils with complex spectral parameter dependent boundary conditions
Abstract
In this study, we are concerned with an inverse nodal
problem for second order differential pencil on a finite interval with complex
spectral parameter dependent boundary conditions by using nodal points. We give
some reconstruction formulas for potential functions
and
as a limit.
Keywords
References
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- R. Hryniv and N. Pronska, Inverse spectral problems for energy-dependent Sturm-Liouville equations, Inverse Problems, (2012) 28(8), 085008.
- G. Freiling and V. A. Yurko, Inverse Sturm-Liouville problems and their applications, NOVA Science Publishers, New York, (2001).
- J. Pöschel and E. Trubowitz, Inverse spectral theory, volume 130 of Pure and Applied Mathematics, Academic Press, Inc, Boston, MA, (1987).
- J. R. McLaughlin, Inverse spectral theory using nodal points as data-a uniqueness result, Journal of Differential Equations, (1988) 73(2), 354-362.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
January 1, 2017
Submission Date
October 24, 2016
Acceptance Date
December 19, 2016
Published in Issue
Year 1970 Volume: 5 Number: 1
APA
Gulsen, T., Yilmaz, E., & Koyunbakan, H. (2017). An inverse nodal problem for differential pencils with complex spectral parameter dependent boundary conditions. New Trends in Mathematical Sciences, 5(1), 137-144. https://izlik.org/JA77ML27MJ
AMA
1.Gulsen T, Yilmaz E, Koyunbakan H. An inverse nodal problem for differential pencils with complex spectral parameter dependent boundary conditions. New Trends in Mathematical Sciences. 2017;5(1):137-144. https://izlik.org/JA77ML27MJ
Chicago
Gulsen, Tuba, Emrah Yilmaz, and Hikmet Koyunbakan. 2017. “An Inverse Nodal Problem for Differential Pencils With Complex Spectral Parameter Dependent Boundary Conditions”. New Trends in Mathematical Sciences 5 (1): 137-44. https://izlik.org/JA77ML27MJ.
EndNote
Gulsen T, Yilmaz E, Koyunbakan H (January 1, 2017) An inverse nodal problem for differential pencils with complex spectral parameter dependent boundary conditions. New Trends in Mathematical Sciences 5 1 137–144.
IEEE
[1]T. Gulsen, E. Yilmaz, and H. Koyunbakan, “An inverse nodal problem for differential pencils with complex spectral parameter dependent boundary conditions”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 137–144, Jan. 2017, [Online]. Available: https://izlik.org/JA77ML27MJ
ISNAD
Gulsen, Tuba - Yilmaz, Emrah - Koyunbakan, Hikmet. “An Inverse Nodal Problem for Differential Pencils With Complex Spectral Parameter Dependent Boundary Conditions”. New Trends in Mathematical Sciences 5/1 (January 1, 2017): 137-144. https://izlik.org/JA77ML27MJ.
JAMA
1.Gulsen T, Yilmaz E, Koyunbakan H. An inverse nodal problem for differential pencils with complex spectral parameter dependent boundary conditions. New Trends in Mathematical Sciences. 2017;5:137–144.
MLA
Gulsen, Tuba, et al. “An Inverse Nodal Problem for Differential Pencils With Complex Spectral Parameter Dependent Boundary Conditions”. New Trends in Mathematical Sciences, vol. 5, no. 1, Jan. 2017, pp. 137-44, https://izlik.org/JA77ML27MJ.
Vancouver
1.Tuba Gulsen, Emrah Yilmaz, Hikmet Koyunbakan. An inverse nodal problem for differential pencils with complex spectral parameter dependent boundary conditions. New Trends in Mathematical Sciences [Internet]. 2017 Jan. 1;5(1):137-44. Available from: https://izlik.org/JA77ML27MJ