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BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION

Cilt: 6 Sayı: 3-Supplement 15 Ekim 2023
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BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION

Öz

In this paper basic boundary value problem with retarded argument that has a discontinuity point inside the interval will be studied. At the discontinuity point transmission conditions contain eigenparameter. Existence of eigenvalues and eigenfunctions will be studied. Asmyptotic properties of eigenvalues and eigenfunctions will be obtained.

Anahtar Kelimeler

Kaynakça

  1. S.B. Norkin, Boundary value problem for the diferential equation of the second order with a lagging argument, Uch. app. Moscow State University, 181, Mat-ka, VIII, pp.59-72 (1956).
  2. S.B. Norkin, On a boundary problem of Sturm-Liouville type for a second-order diferantial equation with a retarded argument, Izv. Vyssh. Uchebn. Zaved. Mat., Vol.6, pp.203-214 (1958).
  3. E. Sen, A. Bayramov, Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition, Mathematical and Computer Modelling, Vol.54, pp.3090-3097 (2011).
  4. C. Fu Yang , Trace and inverse problem of a discontinuous Sturm-Liouville operator with retarded argument, J. Math. Anal. Appl., Vol.395, pp.30-41 (2012).
  5. F. Aydin Akgun, A. Bayramov, M. Bayramoglu, Discontinuous boundary value problems with retarded argument and eigenparameter-dependent boundary conditions, Mediterr. J. Math. Vol.10, pp.277-288 (2013).
  6. E. Sen, J. Jin Seo, S. Araci, Asymptotic behaviour of eigenvalues and eigenfunctions of a Sturm-Liouville problem with retarded argument, Journal of Applied Mathematics, 306917, (2013).
  7. M. Bayramoglu, A. Bayramov , E. Sen, A regularized trace formula for a discontinuous Sturm-Liouville operator with delayed argument, Electronic Journal of Diferential Equations, Vol.104, pp.1072-6691 (2017).
  8. F.A. Cetinkaya , K.R. Mamedov, A boundary value problem with retarded argumant and this continuous coecient in the diferential equation, Azerbaijan Journal of Mathematics, Vol.7, No.1, pp.2218-6816 (2017).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Adi Diferansiyel Denklemler, Fark Denklemleri ve Dinamik Sistemler

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

15 Ekim 2023

Gönderilme Tarihi

29 Eylül 2023

Kabul Tarihi

12 Ekim 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 6 Sayı: 3-Supplement

Kaynak Göster

APA
Mızrak, Ö. (2023). BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION. Journal of Universal Mathematics, 6(3-Supplement), 50-57. https://doi.org/10.33773/jum.1368639
AMA
1.Mızrak Ö. BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION. JUM. 2023;6(3-Supplement):50-57. doi:10.33773/jum.1368639
Chicago
Mızrak, Özgür. 2023. “BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION”. Journal of Universal Mathematics 6 (3-Supplement): 50-57. https://doi.org/10.33773/jum.1368639.
EndNote
Mızrak Ö (01 Ekim 2023) BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION. Journal of Universal Mathematics 6 3-Supplement 50–57.
IEEE
[1]Ö. Mızrak, “BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION”, JUM, c. 6, sy 3-Supplement, ss. 50–57, Eki. 2023, doi: 10.33773/jum.1368639.
ISNAD
Mızrak, Özgür. “BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION”. Journal of Universal Mathematics 6/3-Supplement (01 Ekim 2023): 50-57. https://doi.org/10.33773/jum.1368639.
JAMA
1.Mızrak Ö. BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION. JUM. 2023;6:50–57.
MLA
Mızrak, Özgür. “BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION”. Journal of Universal Mathematics, c. 6, sy 3-Supplement, Ekim 2023, ss. 50-57, doi:10.33773/jum.1368639.
Vancouver
1.Özgür Mızrak. BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION. JUM. 01 Ekim 2023;6(3-Supplement):50-7. doi:10.33773/jum.1368639