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ИСТИНА ЦЭМИ РАН |
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We present an extension of asymptotic method of differential inequalities to new classes of problems with singularly perturbed boundary conditions. We illustrate our results by consideration of boundary and interior layer type stationary solutions of the reaction-diffusion problem and its extension to multidimensional in space variable case. We also present the extension of our results for periodic parabolic problem with singularly perturbed boundary conditions.