The Bibliometric Analysis of Scattering Theory in Mathematics

Ablowitz, M.J, & Musslimani, Z.H. (2016). Inverse Scattering Transform for the Integrable Nonlocal Nonlinear Schrödinger Equation. Nonlinearity, 29(3):915–946.

Agranovich, Z.S., & Marchenko, V.A. (1963). The Inverse Problem of Scattering Theory. New York and London: Gordon and Breach Science Publishers.

Akçay, Ö. (2025). Sturm-Liouville Operatörünün Ters Spektral Probleminin Bibliyometrik Analizi. In M. Dal, N.A. Dal & İ. Ay (Eds.), Bibliyometrik Analiz I (pp. 47–60). Ankara: Akademisyen Yayınevi.

Akçay, Ö. (2021). Inverse Scattering Problem for Sturm-Liouville Operator with Discontinuity Conditions on the Positive Half Line. Int. J. Pure Appl. Sci., 7(3):401–409.

Akcay, O. (2022). On the Investigation of a Discontinuous Sturm-Liouville Operator of Scattering Theory. Math. Commun., 27, 33–45.

Ay, İ., Bekler, B., Bekler, S., & Dal, M. (2024). Bibliometric Analysis of Academic Studies on BREEAM with VOSviewer Software Program. Engineering Applications, 3(3), 185–202.

Ay, İ., Tekin, S., & Dal, M. (2024). Yeşil Bina ve Sürdürülebilirlik Literatürünün Gelişimi: 1999’dan Günümüze Bibliyometrik Bir Bakış. In M. Dal & İ. Ay (Eds.), Mimarlık Uygulamaları ve Araştırmaları (pp. 5–39). BİDGE Yayınevi.

Ay, İ. (2024). Akıllı Ev Sistemleri Üzerine Bibliyometrik Bir Analiz: Web Of Science Tabanlı Bir Çalışma. III. International Fırat Scientific Research Congress, 114–121.

Bahouri, H., & Gérard, P. (1999). High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations. American Journal of Mathematics, 121(1): 131–175.

Burkut, E. B., & Dal, M. (2023). Systematic Literature Review and Scientific Maps on Ecological Architecture and Eco-Architecture. International Journal of Pure and Applied Sciences, 9(2), 369–380. https://doi.org/10.29132/ijpas.1365407

Colton, D., & Kress, R. (2013). Integral Equation Methods in Scattering Theory. Philadelphia: SIAM.

Çöl, A., & Mamedov, K.R. (2012). On an Inverse Scattering Problem for a Class of Dirac Operators with Spectral Parameter in the Boundary Condition. Journal of Mathematical Analysis and Applications, 393(2): 470–478.

Çöl, A. (2022). On a Scattering Problem for Sturm-Liouville Equation with a Rational Function of Spectral Parameter in Boundary Condition. Journal of Contemporary Applied Mathematics, 12(2): 73–82.

Çöl, A. (2023). Inverse Scattering Problem for Sturm-Liouville Equation with a Rational Function of Spectral Parameter in Boundary Condition. Journal of Contemporary Applied Mathematics, 13(1):3–10.

Dal, M., Burkut, E. B., & Karataş, L. (2023). Analysis of Publications on Earthquake Research in Architecture Category and Analysis with R Studio-Biblioshiny Software. Journal of Architectural Sciences and Applications, 8(Special Issue), 183–197. https://doi.org/10.30785/mbud.1333876

El-Raheem, Z.F.A., & Salama, F.A. (2015). The inverse scattering problem of some Schrödinger type equation with turning point. Bound. Value Probl., https://doi.org/10.1186/s13661-0150316-6.

Goktas, S., & Mamedov, K.R. (2020). The Levinson-type Formula for a Class of Sturm-Liouville Equation. Facta Universitatis, Series: Mathematics and Informatics, 35(4): 1219–1229.

Karaman, Ö., & Kosar, N.P. (2013). Continuity of the Scattering Function and Levinson-Type Formula of Klein–Gordon Equation. Mathematical Methods in the Applied Sciences, 36(12):1583–1590.

Keing, C.E., Ponce, G., & Vega, L. (1991). Oscillatory Integrals and Regularity of Dispersive Equations. Indiana University Mathematics Journal, 40(1): 33–69.

Mamedov, K.R. (2010). On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition. Bound. Value Probl., https://doi.org/10.1155/2010/171967.

Mamedov, K.R., & Kosar, N.P. (2010). Continuity of the Inverse Scattering Function and Levinson Type Formula of a Boundary Value Problem. Int. J. Contemp. Math. Sciences, 5(4):159–170.

Mamedov, K.R., & Kosar, N.P. (2011). Inverse Scattering Problem for Sturm-Liouville Operator with Nonlinear Dependence on the Spectral Parameter in the Boundary Condition. Math. Methods Appl. Sci., 34(2):231–241.

Mamedov, K.R., & Çöl, A. (2012). On an Inverse Scattering Problem for a Class Dirac Operator with Discontinuous Coefficient and Nonlinear Dependence on the Spectral Parameter in the Boundary Condition. Mathematical Methods in the Applied Sciences, 35(14):1712–1720.

Mamedov, K.R., & Menken, H. (2009). The Levinson-type Formula for a Boundary Value Problem with a Spectral Parameter in the Boundary Condition. Arab. J. Sci. Eng., 34(1A):219–226

Mamedov, K.R., & Palamut, N. (2009). On a Direct Problem of Scattering Theory for a Class of Sturm-Liouville Operator with Discontinuous Coefficient. Proc. Jangjeon Math. Soc., 12:243–251.

Marchenko, V.A. (2011). Sturm-Liouville Operators and Applications. Providence, Rhode Island: AMS Chelsea Publishing.

Mızrak, Ö., Mamedov, K.R., & Akhtyamov, A.M. (2017). Characteristic Properties of Scattering Data of a Boundary Value Problem. Filomat, 31(12): 3945–3951.

Strauss, W.A. (1981). Non-Linear Scattering Theory at Low-Energy. Journal of Functional Analysis, 41(1):110–133.

Tekin, S., Ay, İ., & Dal, M. (2025). Intersection of Cultural Memory: Bibliometric Analysis of Museum and Music Studies: Web of Science Database. II. International Perge Scientific Studies Congress, 165–173.

VOSviewer 1.6.20. (2025). Welcome to VOSviewer. https://www.vosviewer.com/

Web of Science. (2025). Web of Science Core Collection. (22/04/2025 tarihinde https://www.webofscience.com/wos/woscc/citation-report/b551aa46-ce79-4f7c-a7ed-944b615094c2-015cd1a694?page=1 adresinden ulaşılmıştır).