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Boundary and interior layer behavior for singularly perturbed vector problem

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Abstract

In this paper, we consider the vector nonlinear boundary value problem: εy″=f (x, y, z, y′, ε). y (0)=A1, y (1)=B1 εz″=g(x, y, z, z′, ε), z (0)=A2, z (1)=B2 where ε>0 is a small parameter, 0⩽x⩽1, f and g are continuous functions in R4. Under appropriate assumptions, by means of the differential inequalities, we demonstrate the existence and estimation, involving boundary and interior layers, of the solutions to the above problem.

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Authors and Affiliations

  1. Anhui Normal University, Wuhu

    Zhang Xiang

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  1. Zhang Xiang
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Communicated by Lin Zong-chi

The Project Supported by the National Natural Science Foundations of China.

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Xiang, Z. Boundary and interior layer behavior for singularly perturbed vector problem. Appl Math Mech 11, 1067–1074 (1990). https://doi.org/10.1007/BF02015690

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  • DOI: https://doi.org/10.1007/BF02015690

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