01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
13.12.1972
E-mail:
,
Keywords:
neterian property; fredholm property; the formula for index; boundary value problems; elliptic systems.
Subject:
For boundary value problems for the Duglis–Nirenberg's systems in areas with the piecewise smooth boundary the criterions for neterian properties and formula for an index are obtained. For boundary value problems for the Stocks's system are obtained necessary and sufficient conditions of neterian property and the indexes are calculated.
Biography
Graduated from Faculty of Mathematics of Dagestan State University in 1995 (department of the theory of functions and functional analysis). Ph. D. thesis was defended in 2000. A list of my works contains 7 titles.
Main publications:
Sirazhudinov M. M., Magomedov A. G., Magomedova V. G. Kraevye zadachi dlya obschikh ellipticheskikh sistem na ploskosti. II // Izv. RAN, ser. matem., 2000, 64(3), 169–224.
V. G. Magomedova, A.-R. K. Ramazanov, “On Rational Spline Solutions of Differential Equations with Singularities in the Coefficients of the Derivatives”, Mat. Zametki, 115:1 (2024), 78–90; Math. Notes, 115:1 (2024), 66–76
2022
2.
A.-R. K. Ramazanov, A. K. Ramazanov, V. G. Magomedova, “On the Dynamic Solution of the Volterra Integral Equation in the Form of Rational Spline Functions”, Mat. Zametki, 111:4 (2022), 581–591; Math. Notes, 111:4 (2022), 595–603
A.-R. K. Ramazanov, V. G. Magomedova, “Comparison of the remainders of the Simpson quadrature formula and the quadrature formula for three-point rational interpolants”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021), 102–110
4.
V. G. Magomedova, A.-R. K. Ramazanov, “Approximate solution of nonlinear differential equations with the help of rational spline functions”, Zh. Vychisl. Mat. Mat. Fiz., 61:8 (2021), 1269–1277; Comput. Math. Math. Phys., 61:8 (2021), 1252–1259
2020
5.
A.-R. K. Ramazanov, A.-K. K. Ramazanov, V. G. Magomedova, “On the Gibbs phenomenon for rational spline functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020), 238–251
A.-R. K. Ramazanov, V. G. Magomedova, “On the approximation of $\exp(-x)$ on the half-axis by spline functions in three-point rational interpolants”, Daghestan Electronic Mathematical Reports, 2019, no. 11, 32–37
7.
V. G. Magomedova, A.-R. K. Ramazanov, “Approximate solution of differential equations with the help of rational spline functions”, Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019), 579–586; Comput. Math. Math. Phys., 59:4 (2019), 542–549
A.-R. K. Ramazanov, V. G. Magomedova, “Co-convex interpolation by rational spline functions over a uniform grid of nodes”, Daghestan Electronic Mathematical Reports, 2018, no. 10, 13–22
9.
A.-R. K. Ramazanov, V. G. Magomedova, “Convex interpolation by rational spline functions of class $ C ^ 2 $”, Daghestan Electronic Mathematical Reports, 2018, no. 9, 62–67
10.
A.-R. K. Ramazanov, V. G. Magomedova, “Unconditionally Convergent Rational Interpolation Splines”, Mat. Zametki, 103:4 (2018), 592–603; Math. Notes, 103:4 (2018), 635–644
A.-R. K. Ramazanov, V. G. Magomedova, “Coconvex interpolation by splines with three-point rational interpolants”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018), 164–175
A.-R. K. Ramazanov, V. G. Magomedova, “On conditions for the convexity of splines with respect to three-point rational interpolants”, Daghestan Electronic Mathematical Reports, 2017, no. 8, 1–6
A.-R. K. Ramazanov, V. G. Magomedova, “Splines for three-point rational interpolants with autonomous poles”, Daghestan Electronic Mathematical Reports, 2017, no. 7, 16–28
A.-R. K. Ramazanov, V. G. Magomedova, “Convergence bounds for splines for three-point rational interpolants of continuous and continuously differentiable functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017), 224–233
A.-R. K. Ramazanov, V. G. Magomedova, “On best approximations of continuously differentiable functions by splines with respect to two-point rational interpolants”, Daghestan Electronic Mathematical Reports, 2016, no. 5, 49–55
16.
A.-R. K. Ramazanov, V. G. Magomedova, “Splines for four-point rational interpolants”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016), 233–246
M. M. Sirazhudinov, A. G. Magomedov, V. G. Magomedova, “Boundary-value problems for general elliptic systems in the plane. II”, Izv. RAN. Ser. Mat., 64:3 (2000), 169–224; Izv. Math., 64:3 (2000), 601–651