On a classical boundary value problem involving a small parameter

DOI10.1216/rmjm/1181072580zbMath0790.34050OpenAlexW2016331103MaRDI QIDQ1316352

Stephen J. Kirschvink

Publication date: 22 June 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072580

zbMATH Keywords

asymptotic expansionboundary layer solutionsfluid dynamicsdifferential inequality techniquesshock or interior layer behaviorweak regularity requirements

Mathematics Subject Classification ID

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

Cites Work

• Single-layer solutions for the Dirichlet problem for a quasilinear singularly perturbed second order system
• Nonlinear singular perturbation problems: Proofs of correctness of a formal approximation based on a contraction principle in a Banach space
• An introduction to nonlinear boundary value problems
• Approximate solutions of a nonlinear boundary value problem
• A boundary value problem for certain nonlinear second order differential equations with a small parameter
• Subfunction and second-order ordinary differential inequalities
• Singular perturbations of boundary value problems for nonlinear differential equations of the second order
• Singular Perturbations of a Boundary Problem for a Vector Second Order Differential Equation
• Boundary-interior layer interactions in nonlinear singular perturbation theory
• On a Boundary Value Problem for a Nonlinear Differential Equation with a Small Parameter
• A Boundary Value Problem for a Nonlinear Differential Equation with a Small Parameter
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