Araştırma Makalesi
Yıl 2023,
Cilt: 6 Sayı: 3-Supplement, 50 - 57, 15.10.2023
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
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
retarded argument transmission condition eigenvalue eigenfunction boundary value problem
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 | |
| Yayımlanma Tarihi | 15 Ekim 2023 |
| Gönderilme Tarihi | 29 Eylül 2023 |
| Kabul Tarihi | 12 Ekim 2023 |
| Yayımlandığı Sayı | Yıl 2023 Cilt: 6 Sayı: 3-Supplement |
