Nonstationary Fronts in the Singularly Perturbed Power-Society Model
The theory of contrasting structures in singularly perturbed boundary problems for nonlinear parabolic partial differential equations is applied to the research of formation of steady state distributions of power within the nonlinear “power-society” model. The interpretations of the solutions to the...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/172654 |
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| author | M. G. Dmitriev A. A. Pavlov A. P. Petrov |
| author_facet | M. G. Dmitriev A. A. Pavlov A. P. Petrov |
| author_sort | M. G. Dmitriev |
| collection | DOAJ |
| description | The theory of contrasting structures in singularly perturbed boundary problems for nonlinear parabolic partial differential equations is applied to the research of formation of steady state distributions of power within the nonlinear “power-society” model. The interpretations of the solutions to the equation are presented in terms of applied model. The possibility theorem for the problem of getting the solution having some preassigned properties by means of parametric control is proved. |
| format | Article |
| id | doaj-art-2a86d4f8d7c3452ea9098739e62c4aed |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2a86d4f8d7c3452ea9098739e62c4aed2025-02-03T05:58:27ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/172654172654Nonstationary Fronts in the Singularly Perturbed Power-Society ModelM. G. Dmitriev0A. A. Pavlov1A. P. Petrov2Institute of System Analysis of RAS, Higher School of Economics, Moscow 101000, RussiaRussian State Social University, Moscow 129226, RussiaKeldysh Institute of Applied Mathematics RAS, Moscow 125047, RussiaThe theory of contrasting structures in singularly perturbed boundary problems for nonlinear parabolic partial differential equations is applied to the research of formation of steady state distributions of power within the nonlinear “power-society” model. The interpretations of the solutions to the equation are presented in terms of applied model. The possibility theorem for the problem of getting the solution having some preassigned properties by means of parametric control is proved.http://dx.doi.org/10.1155/2013/172654 |
| spellingShingle | M. G. Dmitriev A. A. Pavlov A. P. Petrov Nonstationary Fronts in the Singularly Perturbed Power-Society Model Abstract and Applied Analysis |
| title | Nonstationary Fronts in the Singularly Perturbed Power-Society Model |
| title_full | Nonstationary Fronts in the Singularly Perturbed Power-Society Model |
| title_fullStr | Nonstationary Fronts in the Singularly Perturbed Power-Society Model |
| title_full_unstemmed | Nonstationary Fronts in the Singularly Perturbed Power-Society Model |
| title_short | Nonstationary Fronts in the Singularly Perturbed Power-Society Model |
| title_sort | nonstationary fronts in the singularly perturbed power society model |
| url | http://dx.doi.org/10.1155/2013/172654 |
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