Invariance of solutions of the set of regularized equations

1Martynyuk, AA
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2017, 12:3-7
Section: Mathematics
Language: Russian

We consider the initial problem for a family of equations regularized with respect to the inaccuracy parameter. Definitions of the weak and strict invariances of solutions are introduced. The conditions for weak and strict invariances of the set of Euler solutions are established, and the possibility to consider discontinuous families of equations is indicated.

Keywords: Eulerian solutions, set of uncertain equations, strict and weak invariances
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