## Fayozov Kudratillo

### Professor

**Date and place of birth:** 03.08.1952, Tashkent city, Uzbekistan

**Nationality:** Uzbek

**Education:** High

**Academic degree:** Doctor of Physical and Mathematical Sciences

**Academic rank:** Professor

**E-mail: ** kudratiloomaksudb77@yahoo.com

**Phone: **+998 71 2462087

### Employment/career

Turin Polytechnic University in Tashkent, Uzbekistan, Department Natural-Mathematical Sciences Professor, Fall 2016 -Present

National University of Uzbekistan, Tashkent, Uzbekistan, Department Mathematics, Professor: Spring 1997–Spring 2016. Associated Professor: Spring 1981- Spring 1997

Institute of Mathematics AS of Uzbekistan named after V.I.Romanovky, Senior Researcher January 1978-Desember 1981

**Education**

National University of Uzbekistan, Tashkent, Uzbekistan, Doctor of sciences in Physics and Mathematics, May 1, 1997 Dissertation Topics: “Boundary value problems for Differential Equations with operator coefficients” Advisor: prof. M.M.Lavrent’ev (Novosibirsk, Russia)

Novosibirsk Computing Centre (Russia) Candidate (PhD) of sciences in Physics and Mathematics, March 15, 1979, Dissertation Topics: “ Ill-posed Cauchy and integral Geometry Problems”, PhD Advisor: Prof. M.M.Lavrent’ev (Novosibirsk, Russia)

Tashkent State University (present National University of Uzbekistan), Uzbekistan, M.A. and B.C. in Mathematics, June 1974

**Research interest**

Materials science and engineering

### Teaching Experience

Turin Polytechnic University in Tashkent, Fall 2016 – Present, Professor: Mathematics 1, Math Methods B. (Education in English)

Turin Polytechnic University in Tashkent, Fall 2013 -Fall 2016, Invited Professor: Mathematics 1, Math Methods B. (Education in English)

National University of Uzbekistan (former Tashkent State University). Spring 1997-Spring 2016, Professor: Equations of Mathematical Physics, Numerical Methods, Inverse and Ill-posed problems, Scientific Computing (course in English), Computational geometry.

National University of Uzbekistan (former Tashkent State University). Spring 1981-Spring 1997, Associated Professor: Equations of Mathematical Physics, Numerical Methods, Inverse and Ill-posed problems, Scientific Computing ( course in English).

Moscow State University in Tashkent, Uzbekistan. Fall 2011 – Spring 2014, Invited Professor: Numerical Methods, Inverse and Ill-posed problems.

International Business School “Kelajak Ilmi”, Tashkent, Uzbekistan. Spring 1997-Sping 2008. Invited Professor: Higher Mathematics for Business and Economics, Mathematical Models of Economics (Education in English)

### Research Exprience

Research interest lie in the field Inverse and Ill-Posed problems, which is very active and rapidly developing area of of Mathematical Physics. The focus of my current research is to study inverse and ill posed boundary value problems for new no classic system differential equations with partial derivatives using some modern methods of mathematic analysis, mathematical physics and numerical mathematics. I engage many undergraduate students in my research. Two of PhD students M.Alaminov and I.O.Khadjiev graduated and defended PhD thesis’s. Most of my students have printed their work in local and international Journals as well as in conferences. I have set of publications with my students.

### Main Publications

1. Fayazov K.S., Khajiev I.O. Boundary Value Problem for the System Equations Mixed Type. Universal Journal of Computational Mathematics 4(4): 61-66, 2016 DOI: 10.13189/ujcmj.2016.040402

2. K. S. Fayazov, Z.Sh.Abdullaeva. Many dots problem for fours order mixed type differential equation. Uzbek Mathematical Journal. 2016. No 4.

3. Fayazov K.S., Khajiev I.O. Ill-posed initial-boundary value problem for the system of parabolic type equations with a varying direction of time. Journal “Computing Technology” Russian AS, (accepted to publish)

4. Fayazov K.S., Khajiev I.O Conditionally correctness of boundary value problem for the system of abstract differential equations. ACTA BuchGU (accepted to publish)

5. K. S. Fayazov, I. O. Khajiev and Z. K. Fayazova. Ill-posed boundary value problem for operator diﬀerential equation of fourth order. ACTA NUUz, 2016. №2, 53-61 pp.

6. K. S. Fayazov and I. O. Khajiev. Stability Estimates and Approximate solutions to a boundary value problem for a forth order Partial Differential Equation. Yakutia Mathematical Journal. Vol.22. No1 (2015), 78-88 pp.

7. K. S. Fayazov and I. O. Khajiev. Conditional correctness of boundary-value problem for a composite fourth-order differential equation . Russian Math. (Iz. VUZ). 2015. V. 59, N 4. P. 54–62.

8. K. S.Fayazov, Z.Sh.Abdullaeva. Internal and boundary value problem for the differential-operator equation of n-order. ACTA NUUz.2014, No2/1 .P. 92-57.

9. K. S.Fayazov, Z.Sh.Abdullaeva. Boundary and inner value problems for third order differential operator equation. ACTA NUUz, 2013, No2.P.177-183.

10. K. S.Fayazov, Z.Sh. Abdullaeva . L-correctness of boundary value problem for second order differential-operator equation. Uzbek Mathematical Journal. 2011, No3.P.168-174.

11. K. S.Fayazov, Z.Sh. Abdullaeva . L-correctnes of boundary value problems for fours order differential equation with partial derivatives and its approximate solution. ACTA NUUz.2010, No3.P.238-239.

12. K. S. Fayazov, M.Alaminov. Theorems on the uniqueness of a degenerating fourth-order differential inequality. ACTA NUUz , 2001,№4. 28-33.

13. K. S. Fayazov, E.Shoc,. Boundary value problems for second order partial differential equations with operator coefficients. Abstract and Applied Analysis, v.6, 2001, N5.P. 253-266.

14. K. S. Fayazov . M.Nurmatov. Quasi inverse method for parabolic type differential equations. Journal of Science and Engineering, 1999, v.11, N 3.P. 269-274.

15. K. S. Fayazov. The Cauchy problem for partial differential equations with operator coefficients. Reports of Russian AS. 1996, v.348,№5.592-594

16. K. S. Fayazov . Boundary problem for a second order differential equation with self-adjoin operator coefficients. Siberian Mathematical Journal, 1996, v. 37.P. 1397-1406

17. K. S.Fayazov . An ill-posed boundary-value problem for a second-order mixed-type equation. Uzbek. Math. J. 1995. N 2. P. 89–93

18. K K. S. Fayazov. Cauchy Problem for elliptic equation with operator coefficients. Siberian Mathematical Journal., 1995,v.36,№ 2.459-465.

19. K. S. Fayazov. Incorrect value problem for parabolic equations with a varying direction of time. Analysis and Discreet Mathematics. NSU. Novosibirsk. 1995. P.125-130.

20. K. S. Fayazov. Cauchy Problem for elliptic equation with operator coefficients. Reports of AS Uzbekistan, 1995, №2.P.5-8.

21. K. S. Fayazov. On the Cauchy problem for linear elliptic equations of second order with operator coefficients. Reports of Russian AS, 1994.V.336, №4.P.459-461.

22. K. S. Fayazov. Incorrect Cauchy problem for differential equations of first and second order with operator coefficients. Siberian Mathematical Journal. 1994.V.35, №3.P.702-706.

23. M.M.Lavrent’ev, K. S. Fayazov. Cauchy problem for partial differential equations with operator coefficients in space. J. Inverse and Ill-posed Problems, 1994, v.2,N4.P.283-294.

24. K. S. Fayazov. About ill-posed Cauchy problem for first-order and second-order differential equations with operator coefficients. Siberian Math. J. 1994. V. 35, N 3. P. 631–635.

25. K. S. Fayazov. Incorrect Cauchy problem for a differential equation with operator coefficients. Reports of Russian AS,1992.V.224 .№4.P.751-753.

26. K. S. Fayazov. Cauchy problem for second order differential equation with operator coefficients. Uzbek Mathematical Journal, 1992.No 1. P.57-60.

27. K. S. Fayazov. Approximate solution of ill-posed problem for the Laplace equation. Proceedings: “Algorithms and numerical methods for solving problems of applied mathematics and management”. TashSU, Tashkent. 1988. P.71-74.

28. K. S. Fayazov, A.Lapasov. Approximate solutions of the Cauchy problem for the Helmholtz equation. Proceedings: No classic problems of Mathematical Physics. «Fan», Tashkent. 1983.P.104-112.

29. K. S. Fayazov. Non- hyperbolic Cauchy problem for two-dimensional telegraph equation in an infinite prism .Proceedings: Mathematical Physics Differential Equations ,«Fan», Tashkent. 1982.12 pp.

30. K. S. Fayazov. Non-hyperbolic Cauchy problem for two-dimensional telegraph equation. Differential equations and bifurcation theory questions. “Fan”, Tashkent, 1982.

31. K. S. Fayazov. Regularization of solving the problem of restoration of function through in ellipses integrals. Boundary value problems for mathematical physics equations, «Fan». Tashkent. 1980.P.75-82.

32. K. S. Fayazov. Regularization non-hyperbolic Cauchy problem for wave equation. «Fan». Reports of the Academy of Sciences Uz SSR №5, 1978.P.14-16.

33. K. S. Fayazov. About non-huperbolic Cauchy problems solution for wave equation. Computing Center of Siberian Branch of AS USSR (Novosibirsk), preprint №81, 1978.8 p.

34. K. S. Fayazov. About construction Carleman function for non-hyperbolic Cauchy problem for wave equation. «Fan». Reports of the Academy of Sciences Uz SSR, №1, 1978.P.6-8.

35. K. S. Fayazov. About Carleman’s function for elliptic type equation.. Mathematical Physics problems. Computing Center of Siberian Branch of AS USSR. 1977.P.101-115

36. K. S. Fayazov, S.P.Shishasky. Carleman’s operator for elliptic type evolution equation. Computing Center of Siberian Branch of AS USSR, preprint №81, 1977.11p.

37. K. S. Fayazov. The non-hyperbolic Cauchy problem for wave equation in infinite layer. Partial differential equations and their applications. «Fan», Tashkent. 1977.P 175-179