Zobrazeno 1 - 10 of 19 pro vyhledávání: '"L. V. Ovsyannikov"'
1
Cauchy problem in a scale of Banach spaces
Autor: L. V. Ovsyannikov
Publikováno v: Proceedings of the Steklov Institute of Mathematics. 281:3-11
The concept of quasidifferential operator in a scale of Banach spaces is formulated. A theorem of existence and uniqueness of a solution to the Cauchy problem for the equation with a nonlinear quasidifferential operator is proved. As an example of ap
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aa1eccbe6de79a77af48f38fe452afc1
https://doi.org/10.1134/s0081543813040020
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2
Group Classification of Equations of the Form y = f(x,y)
Autor: L. V. Ovsyannikov
Publikováno v: Journal of Applied Mechanics and Technical Physics. 45:153-157
The problem of classification of ordinary differential equations of the form y″ = f(x,y) by admissible local Lie groups of transformations is solved. “Standard” equations are listed on the basis of the equivalence concept. The classes of equati
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::26bc6cf02dc3b67918b6b7b06bc5eb27
https://doi.org/10.1023/b:jamt.0000017576.56850.8d
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3
[Untitled]
Autor: L. V. Ovsyannikov
Publikováno v: Siberian Mathematical Journal. 44:857-866
We study the system of nonlinear differential equations which expresses the constancy of the algebraic invariants of the Jacobian matrix for smooth vector fields in three-dimensional space. This system is equivalent to the equations of gas dynamics w
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::baed94ec32f3eceaeca0091e4731956f
https://doi.org/10.1023/a:1025945021678
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4
A gas pendulum
Autor: L. V. Ovsyannikov
Publikováno v: Journal of Applied Mechanics and Technical Physics. 41:865-869
It is shown that a periodic two-dimensional isentropic motion of a gas exists and it is described by an exact solution of the equations of gas dynamics. A polytropic gas that fills a circular cylinder rotates and oscillates (in the radial direction)
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::207e0505756e45cefcc36a773ffc4301
https://doi.org/10.1007/bf02468732
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5
'Simple' solutions of the equations of dynamics for a polytropic gas
Autor: L. V. Ovsyannikov
Publikováno v: Journal of Applied Mechanics and Technical Physics. 40:191-197
The notion of a “simple” solution of a system of differential equations that admit a local Lie group G of transformations of the basic space is considered as an invariant H-solution of type (0, 0) with respect to the subgroup HυG. Such solutions
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e9e7a7b550dfc167fe06617af8369c12
https://doi.org/10.1007/bf02468514
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10
Lectures on the Theory of Group Properties of Differential Equations
Autor: Elena D. Avdonina, L. V. Ovsyannikov, N. Kh. Ibragimov
Publikováno v: Lectures on the Theory of Group Properties of Differential Equations
One-Parameter Continuous Transformation Groups Admitted by Differential Equations: One-Parameter Continuous Transformation Group Infinitesimal Operator of the Group Invariants and Invariant Manifolds Theory of Prolongation Groups Admitted by Differen
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https://doi.org/10.1142/8762
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