On step-like contrast structure of singularly perturbed systems

DOI10.1155/2009/634324zbMath1179.35045OpenAlexW2057562008WikidataQ59220339 ScholiaQ59220339MaRDI QIDQ1032989

Zhiming Wang, Ming Kang Ni

Publication date: 6 November 2009

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45617

zbMATH Keywords

first integralassociated system

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic expansions of solutions to PDEs (35C20) Semilinear parabolic equations (35K58)

Related Items (3)

Analysis of Sturm-Liouville eigenproblem with interior singularities and a perturbation parameter ⋮ Contrast structure for singular singularly perturbed boundary value problem ⋮ The step-type contrast structure for high dimensional Tikhonov system with Neumann boundary conditions

Cites Work

• Differentiability and its asymptotic analysis for nonlinear singularly perturbed boundary value problem
• On contrast structures in a system of singulary perturbed equations.
• Singular perturbations, transversality, and Sil'nikov saddle-focus homoclinic orbits
• Step-like contrasting structures for a system of singularly perturbed equations
• Asymptotic of a solution of contrast-structure type
• Construction and asymptotic stability of structurally stable internal layer solutions
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