https://doi.org/10.46687/GMPX9695Публикации

1. Georgiev, V., Ilchev, A., & Zlatanov, B. (2025). On the connection between fixed point theorems on metric spaces with graphs and $\mathbb {P} $ sets. Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 112, 31-44. https://doi.org/10.60063/gsu.fmi.112.31-44
2. Atanasova, P., Georgiev, V., Veselinova, M., & Vitanov, N. (2025). Further Results on the Mathematical Theory of Motion of Researchers Between Research Organizations. Mathematics, 13(18), 2930. https://doi.org/10.3390/math13182930
3. Atanasova, P., Cheresharov, S., & Georgiev, V. (2025). An Analysis of a Family of Difference Schemes for Solving Hyperbolic Partial Differential Equations. Mathematics, 13(17), 2840. https://doi.org/10.3390/math13172840
4. Georgiev, V., Zhelinski, V. & Zlatanov, B. (2025) Best Proximity Pairs of Noncyclic Mappings with a Contractive Iterate on P Sets, Paisii Hilendarski University of Plovdiv, Bulgaria, Scientific Works, Vol. 40, Book 3, 2025 – Mathematics, ISSN: 0204–5249
5. Atanasova, P., & Georgiev, V. (2024, July). Numerical Analysis of a Difference Scheme Family for Solving Semilinear Hyperbolic PDEs. In International Conference on New Trends in the Applications of Differential Equations in Sciences (pp. 361-371). Cham: Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-83398-4_28
6. Atanasova, P., & Georgiev, V. (2024, July). On the Special Cases of the Jacobi Elliptic Function Solutions of the (2+ 1)-Dimensional Sine-Gordon Equation. In International Conference on New Trends in the Applications of Differential Equations in Sciences (pp. 97-107). Cham: Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-83398-4_7
7. Georgiev, V., & Zlatanov, B. (2024). A generalization of fixed-point theorems for mappings with a contractive iterate. Mathematics, 12(23), 3725. https://doi.org/10.3390/math12233725
8. Georgiev, V., Ilchev, A., & Zlatanov, B. (2024). A variational principle, fixed points and coupled fixed points on P sets. Journal of Fixed Point Theory and Applications, 26(3), 33. https://doi.org/10.1007/s11784-024-01123-w
9. Atanasova, P., & Georgiev, V. (2024) Regions of Existence of Analytical Solutions of the (2+1)-Dimensional Sine-Gordon Equation, Journal of Theoretical and Applied Mechanics, Print ISSN: 0861-6663, Online ISSN: 1314-8710. https://doi.org/10.55787/jtams.24.54.4.465
10. Георгиев, В. & Атанасова, P. (2024) Относно аналитичните решения на Синус-Гордън уравнението, Научни трудове на Съюза на учените в България–Пловдив, серия В. Техника и технологии, т. ХXI, ISSN 1311-9419 (Print), ISSN 2534-9384 (Online), стр. 127 - 131.
11. Georgiev, V. & Yotov, K. (2024) Analysis of Suicide Risk in European Countries Using Artificial Intelligence Methods, Computer Science and Interdisciplinary Research Journal, vol. 1(1). https://doi.org/10.70862/CSIR.2024.0101-03
12. Georgiev, V., Hadzhikoleva, S. & Hadzhikolev, E. (2024) Impact of Global Country Indicators on Life Expectancy, Computer Science and Interdisciplinary Research Journal, vol. 1(1). https://doi.org/10.70862/CSIR.2024.0101-04
13. Georgiev, V., Zhelinski, V. & Zlatanov, B. (2024) Best Proximity Point Theorem for Mappings with a Contractive Iterate on P Sets, MATTEX 2024, CONFERENCE PROCEEDING, v. 1, pp. 79-90, ISSN: 1314-3921. https://doi.org/10.46687/GMPX9695 
14. Georgiev, V., Ilchev, A. & Zlatanov, B. (2024) Utilizing Python for Finding Local Extrema of Multivariable Functions, MATTEX 2024, CONFERENCE PROCEEDING, v. 1, 91-96, ISSN: 1314-3921. https://doi.org/10.46687/XJXO7873
15. Atanasova, P. & Georgiev, V. (2023) Numerical solving of the Sine-Gordon equation, Proceedings of the International Scientific Conference “Informatics, Mathematics, Education and Their Applications” IMEA’2023, 23-30, 29 Nov - 1 Dec 2023, Pamporovo, Bulgaria, ISBN 978-619-7663-79-2, pp. 23-30.

Доклади на семинари и конференции

1. Pavlina Atanasova, Valentin Georgiev, On the Special Cases of the Jacobi Elliptic Function Solutions of the (2+1)-dimensional Sine-Gordon Equation, Eleventh International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES 2024), July 7-10, 2024, St. Constantine and Helena, Bulgaria.
2. Pavlina Atanasova, Valentin Georgiev, Numerical Analysis of a Difference Scheme Family for Solving Semilinear Hyperbolic PDEs, Eleventh International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES 2024), July 7-10, 2024, St. Constantine and Helena, Bulgaria.
3. Valentin Georgiev, Kostadin Yotov, Using Artificial Intelligence Methods to Predict Suicide Risk in Europe, X-th International Conference of Young Scientists 2024, 20-23 June 2024, Plovdiv, Bulgaria.
4. Валентин Георгиев, Павлина Атанасова, Относно аналитичните решения на Синус-Гордън уравнението, Научна конференция „Дни на науката 2023“ – 23-24 ноември 2023 г., гр. Пловдив.
5. Pavlina Atanasova, Valentin Georgiev, Numerical solving of the Sine-Gordon equation, International Scientific Conference “Informatics, Mathematics, Education and Their Applications” IMEA’2023, 23-30, 29 Nov - 1 Dec 2023, Pamporovo, Bulgaria.

Участие в проекти

1. Д24-ФМИ-003, Иновационни изследвания в областта на математическия анализ и диференциалните уравнения с приложения при моделирането на реални процеси (2023-2025)
2. СП23-ФМИ-008, Развитие на творческия потенциал в Школа за ИКТ иновации (2023-2024).
3. МУПД23-ФМИ-021, Използване на методи на изкуствения интелект в бизнеса (2023-2024).