Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2023, Cilt: 6 Sayı: 3-Supplement, 50 - 57, 15.10.2023
https://doi.org/10.33773/jum.1368639

Öz

Kaynakça

  • 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).
  • 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).
  • 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).
  • 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).
  • 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).
  • 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).
  • 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).
  • 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).
  • F. Hira, A trace formula for the Sturm-Liouville type equation with retarded argumnent, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat, Vol.66, No.1, pp.124-132 (2017).
  • G. Freiling, V.A. Yurko, Inverse problems for Sturm-Liouville diferantial operators with a constant delay, Applied Mathematics Letters, Vol.25, pp.1999-2004 (2012).
  • S. Mosazadeh, On the solution of an inverse Sturm-Liouville problem with a delay and eigenparameter dependent boundary conditions, Turk J Math, Vol.42, pp.3090-3100 (2018).
  • N. Bondarenko, V. Yurko, An inverse problem for Sturm{Liouville diferential operators with deviating argument, Appl. Math. Lett. (2018).
  • S.B. Norkin, Diferential Equations of the Second Order with Retarded Argument. Providence, Rhode Island: American Mathematical Society, (1972).

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

Yıl 2023, Cilt: 6 Sayı: 3-Supplement, 50 - 57, 15.10.2023
https://doi.org/10.33773/jum.1368639

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.

Kaynakça

  • 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).
  • 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).
  • 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).
  • 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).
  • 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).
  • 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).
  • 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).
  • 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).
  • F. Hira, A trace formula for the Sturm-Liouville type equation with retarded argumnent, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat, Vol.66, No.1, pp.124-132 (2017).
  • G. Freiling, V.A. Yurko, Inverse problems for Sturm-Liouville diferantial operators with a constant delay, Applied Mathematics Letters, Vol.25, pp.1999-2004 (2012).
  • S. Mosazadeh, On the solution of an inverse Sturm-Liouville problem with a delay and eigenparameter dependent boundary conditions, Turk J Math, Vol.42, pp.3090-3100 (2018).
  • N. Bondarenko, V. Yurko, An inverse problem for Sturm{Liouville diferential operators with deviating argument, Appl. Math. Lett. (2018).
  • S.B. Norkin, Diferential Equations of the Second Order with Retarded Argument. Providence, Rhode Island: American Mathematical Society, (1972).
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Adi Diferansiyel Denklemler, Fark Denklemleri ve Dinamik Sistemler
Bölüm Araştırma Makalesi
Yazarlar

Özgür Mızrak 0000-0001-5961-6019

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 Mızrak Ö. BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION. JUM. Ekim 2023;6(3-Supplement):50-57. doi:10.33773/jum.1368639
Chicago Mızrak, Özgür. “BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION”. Journal of Universal Mathematics 6, sy. 3-Supplement (Ekim 2023): 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 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, 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 (Ekim 2023), 50-57. https://doi.org/10.33773/jum.1368639.
JAMA 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, 2023, ss. 50-57, doi:10.33773/jum.1368639.
Vancouver Mızrak Ö. BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION. JUM. 2023;6(3-Supplement):50-7.