Juriy Agachev

Candidate of Phys. and Math. Sciences
Associate Professor

Degrees

03/1988 - candidate (Physics and Mathematics)

specialty 01.01.01 -  Real, Complex and Functional Analysis

thesis title “Spline approximations of solutions of integral and differential equations”

Research Interests

• Theory of approximate methods
• One-dimensional and multidimensional integral and integro-differential equations
• Direct and iterative methods
• Polynomial and spline approximations of functions

^{Integro-differential equation}

^{Optimal error estimate}

Taught Disciplines

• Calculus of variations and optimization methods
• Extremal  problems
• General theory of approximate methods and its applications
• Decision theory
• Approximate solution of nonlinear equations
• Theory and algorithms

Main publications (in English

• Agachev Y.R, Pershagin M.Y. Well-posed integro-differential equations in a new pair of weight-free Sobolev spaces//Russian Mathematics. - 2017. - Vol.61, Is.8. - P.71-75.
• J R Agachev and A F Galimyanov. A variant of the method of quadratures for solving integral equations with fractional integral of Weyl in the main part // IOP Conf. Series: Materials Science and Engineering 158 (2016) 012002 doi:10.1088/1757- 899X/158/1/012002.
• J. R. Agachev and A. F. Galimyanov. On Justification of General Polynomial Projection Method for Solving Periodic Fractional Integral Equations// Lobachevskii Journal of Mathematics. - 2015. - Vol. 36, No. 2. - P. 97–102.
• J. R. Agachev and A. F. Galimyanov. About the Convergence of the General Projection Polynomial Method for a Class of Periodic Fractional–Integral Equations // Lobachevskii Journal of Mathematics, 2014, Vol. 35, No. 3, pp. 211–217.

^{The best approximation in Lebesgue space Lq}

^{Fractional-differential and fractional-integral operators}