Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: ,
Keywords: Matrix factorization of the Helmholtz equation, Cauchy problem, regularization, ill-posed problems, Carleman function, Carleman matrix, regular solution, fundamental solution
UDC: 517.946, 517.55, 517.956.2, 517.956.22, 517.956.223
MSC: 35J46: 35J56

Subject:

Regularization of the Cauchy problem for matrix factorizations of the Helmholtz equation

Main publications:

1. D. A. Juraev, S. Noeiaghdam, “Regularization of the Ill-Posed Cauchy Problem for Matrix Factorizations of the Helmholtz Equation on the Plane”, Axioms, 10:1 (2021), 1–14
2. D. A. Juraev, “Solution of the ill-posed Cauchy problem for matrix factorizations of the Helmholtz equation on the plane”, Global and Stochastic Analysis, 8:3 (2021), 1–17
3. D. A. Juraev, S. Noeiaghdam, “Modern Problems of Mathematical Physics and Their Applications”, Axioms, 11:2 (2022), 1–6
4. D. A. Juraev, Y. S. Gasimov, “On the regularization Cauchy problem for matrix factorizations of the Helmholtz equation in a multidimensional bounded domain”, Azerbaijan Journal of Mathematics, 12:1 (2022), 142–161
5. D. A. Juraev, S. Noeiaghdam, Modern Problems of Mathematical Physics and Their Applications, MDPI, Alban-Anlage 66 4052 Basel. Switzerland, 2022

Recent publications

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Organisations:

• University of Economics and Pedagogy
• Anand International College of Engineering, Jaipur
• Higher Military Aviation School the Republic of Uzbekistan
• Karshi branch of the Tashkent University of Information Technologies named after Muhammad Al-Khwarizmi
• Samarkand State University named after Alisher Navoi
• Karshi State University