A singularly perturbed second order quasilinear BVP |
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| Authors: | Wuzhong Lin |
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| Institution: | 1. Department of Mathematics, East China Normal University, 200062, Shanghai, China
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| Abstract: | In this paper, it is proved, using qualitative analysis and asymptotic methods for integrals, that forε → 0 the limiting solution of the singularly perturbed quasilinear BVP with turning points $$\varepsilon x'' + b(x)x' = 0; x(0) = x_0 , x(1) = x_1 ,$$ is an increasing piecewise constant function. An estimate of the times of each monotone transition layer is also given. |
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| Keywords: | Singular perturbation interior layer exponential decay |
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