Nonlinear singular perturbation problems: Proofs of correctness of a formal approximation based on a contraction principle in a Banach space

DOI10.1016/0022-247X(78)90206-8zbMath0393.34037MaRDI QIDQ1252460

Aart van Harten

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Boundary Conditions of Dirichlet TypeContraction Principle in a Banach SpaceNonlinear Singular Perturbation Problems

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Singular perturbations for ordinary differential equations (34E15)

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Cites Work

• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Newton’s Method Techniques for Singular Perturbations
• Formal Approximations and Singular Perturbations
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