Research Article

Left-Definite Theory for Fractal Sturm--Liouville Equations

Volume: 13 Number: 2 October 31, 2025
EN

Left-Definite Theory for Fractal Sturm--Liouville Equations

Abstract

In this paper, the left-definite theory of fractal Sturm--Liouville problems in the regular case is studied.

Keywords

References

  1. [1] B. P. Allahverdiev and H. Tuna, Existence theorem for a fractal Sturm–Liouville problem, Vladikavkaz Math. J., 26 (1) (2024), 27-35.
  2. [2] R. Amirov, A. Ergun and S. Durak, Half-inverse problems for the quadratic pencil of the Sturm–Liouville equations with impulse, Numer. Meth. Partial Differ. Equat., 37 (2020), 915-924.
  3. [3] R. K. Amirov and A. S. Ozkan, Discontinuous Sturm–Liouville problems with eigenvalue dependent boundary condition, Math. Phys. Anal. Geom., 17 (2014), 483-491.
  4. [4] K. Aydemir, H. Ol˘gar and O. Sh. Mukhtarov, The principal eigenvalue and the principal eigenfunction of a boundary-value-transmission problem, Turkish J. Math. Comput. Sci., 11 (2) (2019), 97-100.
  5. [5] K. Aydemir, H. Olgar, O. Sh. Mukhtarov and F. Muhtarov, Differential operator equations with interface conditions in modified direct sum spaces, Filomat, 32 (3) (2018), 921-931.
  6. [6] S. Cebesoy, E. Bairamov and Y. Aygar, Scattering problems of impulsive Schr¨odinger equations with matrix coefficients, Ric. Mat., 72 (1) (2023), 399-415.
  7. [7] C. Bennewitz and W. N. Everitt, On the second-order left-definite boundary value problems, Lecture Notes in Mathematics, vol. 1032, Springer, Heidelberg, 31-67, 1983.
  8. [8] W. N. Everitt, On certain regular ordinary differential expressions and related differential operators, Editor(s): Ian W. Knowles, Roger T. Lewis, North-Holland Mathematics Studies, North-Holland, vol 55, 115-167, 1981

Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Publication Date

October 31, 2025

Submission Date

May 9, 2025

Acceptance Date

September 11, 2025

Published in Issue

Year 2025 Volume: 13 Number: 2

APA
Allahverdiev, B. P., & Tuna, H. (2025). Left-Definite Theory for Fractal Sturm--Liouville Equations. Konuralp Journal of Mathematics, 13(2), 241-249. https://izlik.org/JA28FB37CC
AMA
1.Allahverdiev BP, Tuna H. Left-Definite Theory for Fractal Sturm--Liouville Equations. Konuralp J. Math. 2025;13(2):241-249. https://izlik.org/JA28FB37CC
Chicago
Allahverdiev, Bilender P., and Hüseyin Tuna. 2025. “Left-Definite Theory for Fractal Sturm--Liouville Equations”. Konuralp Journal of Mathematics 13 (2): 241-49. https://izlik.org/JA28FB37CC.
EndNote
Allahverdiev BP, Tuna H (October 1, 2025) Left-Definite Theory for Fractal Sturm--Liouville Equations. Konuralp Journal of Mathematics 13 2 241–249.
IEEE
[1]B. P. Allahverdiev and H. Tuna, “Left-Definite Theory for Fractal Sturm--Liouville Equations”, Konuralp J. Math., vol. 13, no. 2, pp. 241–249, Oct. 2025, [Online]. Available: https://izlik.org/JA28FB37CC
ISNAD
Allahverdiev, Bilender P. - Tuna, Hüseyin. “Left-Definite Theory for Fractal Sturm--Liouville Equations”. Konuralp Journal of Mathematics 13/2 (October 1, 2025): 241-249. https://izlik.org/JA28FB37CC.
JAMA
1.Allahverdiev BP, Tuna H. Left-Definite Theory for Fractal Sturm--Liouville Equations. Konuralp J. Math. 2025;13:241–249.
MLA
Allahverdiev, Bilender P., and Hüseyin Tuna. “Left-Definite Theory for Fractal Sturm--Liouville Equations”. Konuralp Journal of Mathematics, vol. 13, no. 2, Oct. 2025, pp. 241-9, https://izlik.org/JA28FB37CC.
Vancouver
1.Bilender P. Allahverdiev, Hüseyin Tuna. Left-Definite Theory for Fractal Sturm--Liouville Equations. Konuralp J. Math. [Internet]. 2025 Oct. 1;13(2):241-9. Available from: https://izlik.org/JA28FB37CC
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