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# Daghestan Electronic Mathematical Reports: Issue 10 (2018)

## List of articles

### About the G-compactness of certain classes of second-order elliptic operators

Authors: Sirazhudinov Magomed Magomedalievich, Dzhamaludinova Saida Pakhrudinovna
Pages: 1 - 12

### Co-convex interpolation by rational spline functions over a uniform grid of nodes

Authors: Ramazanov Abdul-Rashid Kehrimanovich, Magomedova Vazipat Gusenovna
Pages: 13 - 22

### Sobolev orthogonal polynomials generated by modified Laguerre polynomials and the Cauchy problem for ODE systems

Authors: Sharapudinov Idris Idrisovich, Sharapudinov Timur Idrisovich
Pages: 23 - 40

### Fast algorithm for finding approximate solutions to the Cauchy problem for ODE

Authors: Aknyev Gasan Garunovich, Gadjimirzaev Ramis Mahmudovich
Pages: 41 - 49

### The spectral method for solving the Cauchy problem for systems of ordinary differential equations by means of a system of functions orthogonal in the sense of Sobolev, generated by the Haar system

Authors: Magomed-Kasumov Magomedrasul Grozbekovich, Magomedov Salikh Rasulovich
Pages: 50 - 60