一类右端不连续奇异摄动高阶方程组的内部层

Abstract

Abstract:

This paper introduces some work on singular perturbation problems with discontinuous right-hand side, mainly discusses a class of fourth-order Dirichlet boundary value singular perturbation equations with discontinuous right-hand sides. After introducing complex equation form, we construct a formal asymptotic solution with an internal transfer layer by using the boundary layer function method, and give the existence and residual estimation of smooth solutions. Finally, an example is given to verify the correctness of the algorithm.

Key words: Singularly perturbed system, Discontinuous right-hand side, Spatial contrast structure, Boundary layer function method, Smooth joint

CLC Number:

O175.14

Fu Yuechen, Ni Mingkang. The Inner Layer of a Class of Singularly Perturbed High-Order Equations with Discontinuous Right-Hand Side[J].Acta mathematica scientia,Series A, 2024, 44(5): 1153-1166.

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The Inner Layer of a Class of Singularly Perturbed High-Order Equations with Discontinuous Right-Hand Side

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