Davron Juraev | Mathematics | Best Researcher Award

Prof. Dr. Davron Juraev | Mathematics | Best Researcher Award

Turon University | Uzbekistan

Prof. Dr. Davron Juraev is a leading mathematical scientist recognized for his profound contributions to mathematical physics, numerical analysis, and applied mathematics, with a citation record of 1421 citations, an h-index of 22, and an i10-index of 39. His extensive publication portfolio covers topics such as the Cauchy problem, Helmholtz equations, fractional calculus, and ill-posed problems, making significant theoretical and computational advancements. Prof. Juraev has served as Editor-in-Chief of the Karshi Multidisciplinary International Scientific Journal (KMISJ) and on editorial boards of numerous international journals, including IETI Transactions on Data Analysis and Forecasting (iTDAF), Computational Algorithms and Numerical Dimensions (CAND), and Advanced Engineering Science (AES). He has also acted as a Guest Editor for special issues in Axioms (Switzerland) and Global and Stochastic Analysis (India). His research leadership extends to major projects funded by the Academy of Sciences of Uzbekistan and the Ministry of Innovative Development, focusing on dynamic systems and anti-radar missile trajectory optimization. Widely respected as a reviewer, collaborator, and innovator, Prof. Juraev’s works continue to influence contemporary research in computational modeling, differential equations, and mathematical problem-solving worldwide.

Profiles : Scopus | Orcid | Google Scholar

Featured Publications

Efendiev, R. F., Juraev, D. A., & Elsayed, E. E. (2025). PT-symmetric Dirac inverse spectral problem with discontinuity conditions on the whole axis. Symmetry, 17(10), 1603.

Martin, N., Yue, G. X. G., & Juraev, D. A. (2025). Plithogenic machine learning solutions to material selection in renewable energy systems. IETI Transactions on Data Analysis and Forecasting (iTDAF), 3(3), Article 57085.

Juraev, D. A. (2025). A mathematical model for the maintenance scheduling problem with disturbance effect and single maintenance team. Advanced Mathematical Models and Applications, 10(2), 304.

Basholli, F., Hayal, M. R., Elsayed, E. E., & Juraev, D. A. (2025). Deep learning for skin disease classification: A comparative study of CNN and CNN-LSTM architectures. Journal of Computing and Data Technology, 1(1), 40–49.

Niyozov, I. E., Juraev, D. A., Efendiev, R. F., & Abdalla, M. (2025). Cauchy problem for the biharmonic equation. Journal of Umm Al-Qura University for Applied Sciences, 5(2), 244.

Liu, T., Ding, B., Nemati Saray, B., Juraev, D. A., & Elsayed, E. E. (2025). On the pseudospectral method for solving the fractional Klein–Gordon equation using Legendre cardinal functions. Fractal and Fractional, 9(3), 177.

Annaghili, S., Efendiev, R., Juraev, D. A., & Abdalla, M. (2025). Spectral analysis for the almost periodic quadratic pencil with impulse. Boundary Value Problems, 2025(1), 27.

Abdulwahid, M. M., Kurnaz, S., Kurnaz Türken, A., Hayal, M. R., Elsayed, E. E., & Juraev, D. A. (2025). Performance analysis of input power variations in high data rate DWDM-FSO systems under various rain conditions. Journal of Optics, 54(1), 47.

Juraev, D. A., Agarwal, P., Shokri, A., & Elsayed, E. E. (2024). Cauchy problem for matrix factorizations of Helmholtz equation on a plane. In Recent Trends in Fractional Calculus and Its Applications (pp. 245–258). Elsevier.

Juraev, D. A., Agarwal, P., Shokri, A., & Elsayed, E. E. (2024). Integral formula for matrix factorizations of Helmholtz equation. In Recent Trends in Fractional Calculus and Its Applications (pp. 233–243). Elsevier.

Juraev, D. A., Noeiaghdam, S., Agarwal, P., & Agarwal, R. P. (2024). On the Cauchy problem for systems of linear equations of elliptic type of the first order in the space R^m. Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 4(1), 77–90.*

Juraev, D. A., Agarwal, P., Shokri, A., & Elsayed, E. E. (2024). The Cauchy problem for matrix factorizations of Helmholtz equation in space. In Recent Trends in Fractional Calculus and Its Applications (pp. 259–273). Elsevier.

Niyozov, I. E., Juraev, D. A., Efendiev, R. F., & Jalalov, M. J. (2024). The Cauchy problem for the system of elasticity. Journal of Contemporary Applied Mathematics, 14(2), 92.

Muxammedov, B. M., Sanko, A. A., Juraev, D. A., & Elsayed, E. E. (2024). Optimizing rocket trajectories: Advanced mathematical modeling in MATLAB/Simulink. International Journal of Information Technology, 16(12), 2162.

Putra, F. G., Putra, R. W. Y., Ricardo, S., Widyawati, S., & Juraev, D. A. (2024). Effectiveness of meaningful instructional design in improving students' mathematical skills. Journal of Philology and Educational Sciences, 32(5), 325.

Liu, T., Xue, R., Ding, B., Juraev, D. A., Nemati Saray, B., & Soleymani, F. (2024). A novel and effective scheme for solving the fractional telegraph problem via the spectral element method. Fractal and Fractional, 8(12), 711.

Elsayed, E. E., Hayal, M. R., & Juraev, D. A. (2024). Ensemble machine learning approaches for robust classification of maize plant leaf diseases. Journal of Modern Technology, 1(2), 87–93.

Egamberdiev, K., Khidirova, N., Juraev, D. A., & Elsayed, E. E. (2024). Numerical solution of groundwater modeling for mountain regions of Uzbekistan. Discover Water, 4(1), 159.

Henryk Żołądek | Mathematics | Best Researcher Award

Prof. Henryk Żołądek | Mathematics | Best Researcher Award

University of Warsaw | Poland

Author Profile

Scopus

Orcid

🎓 Early Academic Pursuits

Prof. Henryk Żołądek embarked on his mathematical journey at the University of Warsaw, where he completed his undergraduate studies between 1973 and 1978, specializing in Bifurcation Theory. He later pursued doctoral studies at the prestigious Moscow State University, earning a Ph.D. in Statistical Mechanics in 1983. His exceptional academic trajectory continued with a habilitation in Bifurcation Theory in 1987, marking his early distinction in advanced mathematics.

👨‍🏫 Professional Endeavors

His academic career began as an Assistant at the University of Warsaw (1978–1980). After completing his Ph.D., he returned to Warsaw as an Assistant Professor and gained international experience as a Visiting Professor at the University of Arizona in 1988. Prof. Żołądek held multiple professorial roles, including at the Polish Academy of Sciences and a long-standing association with the University of Warsaw (1991–2004). His global engagements also include visits to top institutions like Brown University, Université Paris VI, and Universitat Autònoma de Barcelona.

🔬 Contributions and Research Focus

Prof. Żołądek’s research spans several interconnected mathematical disciplines:

🌀 Bifurcation Theory – specializing in diffeomorphisms and planar systems, exploring complex dynamics and normal form analysis.
📉 Statistical Mechanics – investigating lattice models and spectral properties.
🔧 Singularity Theory – with a focus on Lagrangian submanifolds and geometric analysis.
📈 Differential Equations – tackling major problems including the 16th Hilbert Problem, integration theory, and Abelian integrals.
📐 Algebraic Geometry – working on complex planar algebraic curves and their applications in dynamical systems.

His versatility has contributed to both theoretical advancements and practical mathematical modeling.

🏆 Accolades and Recognition

Though specific awards are not listed, Prof. Żołądek’s international collaborations, long-standing professorships, and high-impact publications underscore his respected status in the global mathematics community. His participation in elite research centers and mathematical forums further signifies his academic prestige.

🌍 Impact and Influence

Prof. Żołądek’s work on topics such as the Jouanolou system, Abhyankar-Moh theorem, and limit cycles in polynomial vector fields has significantly influenced contemporary mathematical thought. His joint work with renowned scholars and institutions has enriched the fields of dynamical systems and algebraic geometry.

He has authored key papers such as:
📝 "Quadratic systems with center and their perturbations" (J. Diff. Equat., 1994)
📝 "The extended monodromy group and Liouvillian first integrals" (J. Dynam. Control Syst., 1997)
📝 "A new topological proof of the Abhyankar-Moh theorem" (Math. Zeitschrift, 2003)
📝 "Limit cycles of three-dimensional polynomial vector fields" (Nonlinearity, 2005)

🌟 Legacy and Future Contributions

Prof. Henryk Żołądek stands as a pillar in the European mathematical landscape, known for bridging bifurcation theory, geometric methods, and differential equations. His work not only addresses foundational questions but also inspires younger mathematicians through teaching, collaboration, and global engagement. His legacy is deeply woven into both Polish and international mathematical progress. With continued research and mentoring, his influence is sure to extend into future generations of mathematical discovery.

Publications


📝 Invariants of group representations, dimension/degree duality and normal forms of vector fields

Authors: Ewa Stróżyna, Henryk Żołądek

Journal: Bulletin des Sciences Mathématiques

Year: 2025 (Available online: 18 June 2025)