On higher-dimensional contrast structure of singularly perturbed Dirichlet problem

DOI10.1007/s11425-012-4375-1zbMath1250.34049OpenAlexW2077431004MaRDI QIDQ424284

Zhiming Wang, Ming Kang Ni

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4375-1

zbMATH Keywords

Dirichlet boundary conditionsingularly perturbed systeminternal layer

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15)

Related Items (3)

The contrast structures for a class of singularly perturbed systems with heteroclinic orbits ⋮ Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case ⋮ The step-type contrast structure for high dimensional Tikhonov system with Neumann boundary conditions

Cites Work

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• Geometric singular perturbations for multiple turning points: invariant manifolds and exchange lemmas
• Differentiability and its asymptotic analysis for nonlinear singularly perturbed boundary value problem
• On a contrast steplike structure for a class of second-order nonlinear singularly perturbed equations
• Contrast structures for a system of singularly perturbed equations
• Construction and asymptotic stability of structurally stable internal layer solutions

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