Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2023, vol. 23, iss. 1
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Content
Mathematics
Balashov M. V.
The Lezanski – Polyak – Lojasiewicz inequality and the convergence of the gradient projection algorithm
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4
Loshkareva E. A., Gladyshev Y. A., Malyshev E. N.
Application of the generalized degree method for constructing solutions of the quaternion variant of the Cauchy – Riemann system
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11
Sevastianov L. A., Lovetskiy K. P., Kulyabov D. S.
A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method
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36
Turtin D. V., Stepovich M. A., Kalmanovich V. V.
On the application of the qualitative theory of differential equations to a problem of heat and mass transfer
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48
Shabalin P. L., Faizov R. R.
The Riemann problem on a ray for generalized analytic functions with a singular line
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58
Mechanics
Gureeva N. A., Kiseleva R. Z., Klochkov Y. V., Nikolaev A. P., Ryabukha V. V.
On the physical equations of a deformable body at the loading step with implementation based on a mixed FEM
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70
Sadyrin E. V.
Influence of a polymeric infiltrant on the density of enamel white spot lesions
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83
Sapunkov Y. G., Molodenkov A. V.
The new algorithm of quasi-optimal reorientation of a spacecraft
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95