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2013 Nonstationary Fronts in the Singularly Perturbed Power-Society Model
M. G. Dmitriev, A. A. Pavlov, A. P. Petrov
Abstr. Appl. Anal. 2013(SI62): 1-8 (2013). DOI: 10.1155/2013/172654


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.


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M. G. Dmitriev. A. A. Pavlov. A. P. Petrov. "Nonstationary Fronts in the Singularly Perturbed Power-Society Model." Abstr. Appl. Anal. 2013 (SI62) 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1304.35049
MathSciNet: MR3121508
Digital Object Identifier: 10.1155/2013/172654

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI62 • 2013
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