Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity

被引：0
作者：
M. G. Leptchinski
V. N. Pavlenko
机构：
[1] Chelyabinsk State University,
来源：
Siberian Mathematical Journal | 2005年 / 46卷
关键词：
resonance elliptic problem; discontinuous nonlinearity; approximation; β-convergence;
D O I：
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学科分类号：
摘要：
We consider the situation in which a resonance elliptic boundary-value problem with a discontinuous nonlinearity is an idealization of a distributed system with nonlinearities continuous in the phase variable and having narrow areas in the domain of the phase variable in which the tracking of the change of nonlinear parameters is impossible. We study the question of proximity of the solution sets of the original and idealized systems.
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页码：111 / 118
页数：7
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