Research Article

A Boundary Value Problem with Retarded Argument Containing an Eigenparameter in the Transmission Condition

Volume: 9 Number: 2 December 31, 2023
EN

A Boundary Value Problem with Retarded Argument Containing an Eigenparameter in the Transmission Condition

Abstract

In this work, a discontinuous boundary value problem with retarded argument is studied. At the discontinuity point there is a transmission condition that contains a parameter. Asymptotic properties of eigenvalues and corresponding eigenfunctions of the boundary value problem are studied.

Keywords

References

  1. Aydin Akgun, F., Bayramov, A. and Bayramoğlu, M. (2013). Discontinuous boundary value problems with retarded argument and eigenparameter-dependent boundary conditions. Mediterranean journal of mathematics, 10(1), 277-288.
  2. Bayramoğlu, M., Köklü, K. Ö. and Baykal, O. (2002). On the spectral properties of the regular Sturm-Liouville Problem with the lag argument for which its boundary conditions depends on the spectral parameter. Turkish Journal of Mathematics, 26(4), 421-432.
  3. Cetinkaya, F. A. and Mamedov, K. R. (2017). A boundary value problem with retarded argument and discontinuous coefficient in the differential equation. Azerbaijan Journal of Mathematics, 7(1), 135-145.
  4. Hira, F. (2017). A trace formula for the Sturm-Liouville type equation with retarded argument. Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat, 66(1), 124-132.
  5. Kolmanovskii, V. and Myshkis, A. (1999). Introduction to the Theory and Applications of Functional Differential Equations. Dordrecht, The Nederlands: Kluwer Academic Publishers.
  6. Koparan, K. (2019). Sınırda parametre içeren geç kalan argümanlı Sturm Liouville probleminin özdeğerlerinin ve özfonksiyonlarının asimtotik özellikleri, Yüksek Lisans Tezi.
  7. Norkin, S. B. (1956). Boundary problem for a secondorder differential equation with a retarded argument. Uchenye Zapiski Moskovskogo Gosudarstvennogo Universiteta, 181, 59-72.
  8. Norkin, S. B. (1958). On periodic solutions of a linear homogeneous differential equation of second order with retarded argument. Matematicheskii Sbornik, 87(1), 71-104.

Details

Primary Language

English

Subjects

Circuits and Systems

Journal Section

Research Article

Early Pub Date

December 29, 2023

Publication Date

December 31, 2023

Submission Date

September 28, 2023

Acceptance Date

October 17, 2023

Published in Issue

Year 2023 Volume: 9 Number: 2

APA
Işık Gülmezler, Ö., & Mızrak, Ö. (2023). A Boundary Value Problem with Retarded Argument Containing an Eigenparameter in the Transmission Condition. International Journal of Pure and Applied Sciences, 9(2), 282-288. https://doi.org/10.29132/ijpas.1368045
AMA
1.Işık Gülmezler Ö, Mızrak Ö. A Boundary Value Problem with Retarded Argument Containing an Eigenparameter in the Transmission Condition. International Journal of Pure and Applied Sciences. 2023;9(2):282-288. doi:10.29132/ijpas.1368045
Chicago
Işık Gülmezler, Özge, and Özgür Mızrak. 2023. “A Boundary Value Problem With Retarded Argument Containing an Eigenparameter in the Transmission Condition”. International Journal of Pure and Applied Sciences 9 (2): 282-88. https://doi.org/10.29132/ijpas.1368045.
EndNote
Işık Gülmezler Ö, Mızrak Ö (December 1, 2023) A Boundary Value Problem with Retarded Argument Containing an Eigenparameter in the Transmission Condition. International Journal of Pure and Applied Sciences 9 2 282–288.
IEEE
[1]Ö. Işık Gülmezler and Ö. Mızrak, “A Boundary Value Problem with Retarded Argument Containing an Eigenparameter in the Transmission Condition”, International Journal of Pure and Applied Sciences, vol. 9, no. 2, pp. 282–288, Dec. 2023, doi: 10.29132/ijpas.1368045.
ISNAD
Işık Gülmezler, Özge - Mızrak, Özgür. “A Boundary Value Problem With Retarded Argument Containing an Eigenparameter in the Transmission Condition”. International Journal of Pure and Applied Sciences 9/2 (December 1, 2023): 282-288. https://doi.org/10.29132/ijpas.1368045.
JAMA
1.Işık Gülmezler Ö, Mızrak Ö. A Boundary Value Problem with Retarded Argument Containing an Eigenparameter in the Transmission Condition. International Journal of Pure and Applied Sciences. 2023;9:282–288.
MLA
Işık Gülmezler, Özge, and Özgür Mızrak. “A Boundary Value Problem With Retarded Argument Containing an Eigenparameter in the Transmission Condition”. International Journal of Pure and Applied Sciences, vol. 9, no. 2, Dec. 2023, pp. 282-8, doi:10.29132/ijpas.1368045.
Vancouver
1.Özge Işık Gülmezler, Özgür Mızrak. A Boundary Value Problem with Retarded Argument Containing an Eigenparameter in the Transmission Condition. International Journal of Pure and Applied Sciences. 2023 Dec. 1;9(2):282-8. doi:10.29132/ijpas.1368045
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