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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2014, Volume 16, Number 1, Pages 24–31 (Mi svmo448)

This article is cited in 1 paper

The liminal dissipative equation of the creeping dislocations density for a one-component bending of flat plate

S. N. Alekseenko, S. N. Nagornyh, D. V. Khiteva

Nizhny Novgorod State Technical University

Abstract: The differential equation in partial derivatives of the first order with a coefficient in front of the square of the first derivative with respect to the spatial variable, which can be equal to zero, is obtain. Using the method of an additional argument, there are defined conditions of its local solvability

Keywords: dislocation density, nonlinear first-order partial differential equation, nonlocal solvability, liminality, method of an additional argument.

UDC: 517.9

Received: 18.07.2014



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