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Boundary and angular layer behavior in singular perturbed quasilinear systems

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Abstract

In this paper, using the method of differential inequalities, we study the existence of solutions and their asymptotic behavior, as ɛ→0+, of Dirichlt problem for second order quasilinear systems. Depending on whether the reduced solutionu(t) has or does not have a continuous first-derivative in (a, b), we study two types of asymptotic behaviour, thus leading to the phenomena of boundary and angular layers.

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References

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Authors and Affiliations

  1. Department of Mathematics, Fujian Normal University, Fuzhou

    Lin Zong-chi

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  1. Lin Zong-chi
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Zong-chi, L. Boundary and angular layer behavior in singular perturbed quasilinear systems. Appl Math Mech 7, 433–441 (1986). https://doi.org/10.1007/BF01895763

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  • DOI: https://doi.org/10.1007/BF01895763

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