Sturm-Liouville Operatörünün Ters Spektral Probleminin Bibliyometrik Analizi

Ay İ, Bekler S, Bekler B, Dal M. Taş alterasyonları konusunda yapılmış akademik çalışmaların VOSviewer yazılım programı ile bibliyometrik analizi. Kültürel Miras Araştırmaları. 2024;5(1):15–31.

Burkut EB, Dal M. Systematic literature review and scientific maps on ecological architecture and eco-architecture. International Journal of Pure and Applied Sciences. 2023;9(2), 369–380.

Tekin S, Burkut EB, Dal M. Culture and arts management: A bibliometric analysis using software. Cultural Heritage and Science. 2024;5(1), 62–74.

Ghaffar ARA, Melethil A, Adahmi AY. A bibliometric analysis of inverse optimization. Journal of King Saud University-Science. 2023;35(7):102825.

Petcu MA, Ionescu-Feleaga L, Ionescu BS, Moise, DFA. Decade for the mathematics: bibliometric analysis of mathematical modeling in economics, ecology, and environment. Mathematics. 2023;11(365). 5. https://doi.org/10.3390/math11020365.

Ablowitz MJ, Segur H. Solitons and the inverse scattering transform. Philadelphia: SIAM; 1981.

Faddeev LD, Takhtajan LA. Hamiltonian methods in the theory of solitons. Berlin: Springer; 1987.

Lamb GL. Elements of soliton theory. New York: Wiley; 1980.

Freiling G, Yurko VA. Inverse Sturm-Liouville problems and their applications. Huntington, NY: Nova Science Publishers Inc; 2001.

Levitan BM, Sargsjan IS. Sturm-Liouville and Dirac operators. Kluwer Academic Publisher; 1991.

Marchenko VA. Sturm-Liouville operatos and applications. Providence, Rhode Island: AMS Chelsea Publishing; 2011.

Yang CF, Yang, XP. An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions. Applied Mathematics Letters. 2009;22(9):1315–1319.

Ali M, Aziz S, Malik SA. Inverse problem for a space-time fractional diffusion equation: Application of fractional Sturm-Liouville operator. Math. Meth. Appl. Sci. 2018;41:2733–2747.

Mamedov, KR, Cetinkaya FA. Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition. Bound. Value Probl. 2013;183(2013). https://doi.org/10.1186/1687-2770-2013-183

Xu XC, Yang CF. Inverse spectral problems for the Sturm-Liouville operator with discontinuity. Journal of Differential Equations. 2009;262(3):3093–3106.

Yang CF. Inverse problems for the Sturm-Liouville operator with discontinuity. Inverse Problems in Science and Engineering. 2014;22(2):232–244.

Akcay, O. Uniqueness theorems for inverse problems of discontinuous Sturm-Liouville operator. Bulletin of the Malaysian Mathematical Sciences Society. 2021;44: 1927–1940.

Karakus, OA. On determination of discontinuous Sturm-Liouville operator fromWeyl function. Malaya Journal of Matematik. 2023;11(4): 356–362.

Karahan D, Mamadov KR. Uniqueness of the solution of the inverse problem for one class of Sturm-Liouville operator. Proceedings of IMM of NAS of Azerbaijan. 2014;40:233–244.

Karahan D, Mamedov KR. On an inverse spectral problem for Sturm-Liouville operator with discontinuous coefficient. Ufa Mathematical Journal. 2015;7(3):119–131.

Panakhov ES, Koyunbakan H, Ic, U. Reconstruction formula for the potential function of Sturm-Liouville problem with eigenparameter boundary condition. Inverse Problems in Science and Engineering. 2010;18(1):173–180.

Koyunbakan H. Inverse problem for a quadratic pencil of Sturm-Liouville operator. Journal of Mathematical Analysis and Applications. 2011;378(2):549–554.

Bondarenko N, Yurko V. An inverse problem for Sturm–Liouville differential operators with deviating argument. Applied Mathematics Letters. 2018;83:140–144.

Bondarenko NP, Buterin SA, Vasiliev SV. An inverse spectral problem for Sturm–Liouville operators with frozen argument. Journal of Mathematical Analysis and Applications. 2019;472(1):1028–1041.

Chitorkin EE, Bondarenko NP. Inverse Sturm-Liouville problem with singular potential and spectral parameter in the boundary conditions. Journal of Differential Equations. 2025;421:495–523.

Guliyev, NJ. Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions. Inverse Problems. 2005;21(4): 1315–1330.

Buterin SA, Yurko VA. An inverse spectral problem for Sturm–Liouville operators with a large constant delay. Anal.Math.Phys. 2019;9: 17–27.

Freiling G, Yurko VA. Inverse problems for Sturm–Liouville differential operators with a constant delay. 2012;25(11):1999–2004.

Web of Science. (14/01/2025 tarihinde https://www.webofscence.com/wos/woscc/ctaton-report/c587494a-a9f1-48d1-963e-e15414fc0f37-01435643ff adresinden ulaşılmıştır.)

VOSviewer, Welcome to VOSviewer. https://www.vosviewer.com/

Ay İ, Bekler S, Bekler B, Dal M. Taş alterasyonları konusunda yapılmış akademik çalışmaların VOSviewer yazılım programı ile bibliyometrik analizi. Kültürel Miras Araştırmaları. 2024;5(1):15–31.

Burkut EB, Dal M. Systematic literature review and scientific maps on ecological architecture and eco-architecture. International Journal of Pure and Applied Sciences. 2023;9(2), 369–380.

Tekin S, Burkut EB, Dal M. Culture and arts management: A bibliometric analysis using software. Cultural Heritage and Science. 2024;5(1), 62–74.

Ghaffar ARA, Melethil A, Adahmi AY. A bibliometric analysis of inverse optimization. Journal of King Saud University-Science. 2023;35(7):102825.

Petcu MA, Ionescu-Feleaga L, Ionescu BS, Moise, DFA. Decade for the mathematics: bibliometric analysis of mathematical modeling in economics, ecology, and environment. Mathematics. 2023;11(365). 5. https://doi.org/10.3390/math11020365.

Ablowitz MJ, Segur H. Solitons and the inverse scattering transform. Philadelphia: SIAM; 1981.

Faddeev LD, Takhtajan LA. Hamiltonian methods in the theory of solitons. Berlin: Springer; 1987.

Lamb GL. Elements of soliton theory. New York: Wiley; 1980.

Freiling G, Yurko VA. Inverse Sturm-Liouville problems and their applications. Huntington, NY: Nova Science Publishers Inc; 2001.

Levitan BM, Sargsjan IS. Sturm-Liouville and Dirac operators. Kluwer Academic Publisher; 1991.

Marchenko VA. Sturm-Liouville operatos and applications. Providence, Rhode Island: AMS Chelsea Publishing; 2011.

Yang CF, Yang, XP. An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions. Applied Mathematics Letters. 2009;22(9):1315–1319.

Ali M, Aziz S, Malik SA. Inverse problem for a space-time fractional diffusion equation: Application of fractional Sturm-Liouville operator. Math. Meth. Appl. Sci. 2018;41:2733–2747.

Mamedov, KR, Cetinkaya FA. Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition. Bound. Value Probl. 2013;183(2013). https://doi.org/10.1186/1687-2770-2013-183

Xu XC, Yang CF. Inverse spectral problems for the Sturm-Liouville operator with discontinuity. Journal of Differential Equations. 2009;262(3):3093–3106.

Yang CF. Inverse problems for the Sturm-Liouville operator with discontinuity. Inverse Problems in Science and Engineering. 2014;22(2):232–244.

Akcay, O. Uniqueness theorems for inverse problems of discontinuous Sturm-Liouville operator. Bulletin of the Malaysian Mathematical Sciences Society. 2021;44: 1927–1940.

Karakus, OA. On determination of discontinuous Sturm-Liouville operator fromWeyl function. Malaya Journal of Matematik. 2023;11(4): 356–362.

Karahan D, Mamadov KR. Uniqueness of the solution of the inverse problem for one class of Sturm-Liouville operator. Proceedings of IMM of NAS of Azerbaijan. 2014;40:233–244.

Karahan D, Mamedov KR. On an inverse spectral problem for Sturm-Liouville operator with discontinuous coefficient. Ufa Mathematical Journal. 2015;7(3):119–131.

Panakhov ES, Koyunbakan H, Ic, U. Reconstruction formula for the potential function of Sturm-Liouville problem with eigenparameter boundary condition. Inverse Problems in Science and Engineering. 2010;18(1):173–180.

Koyunbakan H. Inverse problem for a quadratic pencil of Sturm-Liouville operator. Journal of Mathematical Analysis and Applications. 2011;378(2):549–554.

Bondarenko N, Yurko V. An inverse problem for Sturm–Liouville differential operators with deviating argument. Applied Mathematics Letters. 2018;83:140–144.

Bondarenko NP, Buterin SA, Vasiliev SV. An inverse spectral problem for Sturm–Liouville operators with frozen argument. Journal of Mathematical Analysis and Applications. 2019;472(1):1028–1041.

Chitorkin EE, Bondarenko NP. Inverse Sturm-Liouville problem with singular potential and spectral parameter in the boundary conditions. Journal of Differential Equations. 2025;421:495–523.

Guliyev, NJ. Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions. Inverse Problems. 2005;21(4): 1315–1330.

Buterin SA, Yurko VA. An inverse spectral problem for Sturm–Liouville operators with a large constant delay. Anal.Math.Phys. 2019;9: 17–27.

Freiling G, Yurko VA. Inverse problems for Sturm–Liouville differential operators with a constant delay. 2012;25(11):1999–2004.

Web of Science. (14/01/2025 tarihinde https://www.webofscence.com/wos/woscc/ctaton-report/c587494a-a9f1-48d1-963e-e15414fc0f37-01435643ff adresinden ulaşılmıştır.)

VOSviewer, Welcome to VOSviewer. https://www.vosviewer.com/