A note on \(f'+ff+\lambda(1-{f'}^2)=0\) with \(\lambda\in(-\frac{1}{2},0)\) arising in boundary layer theory.

DOI10.1016/j.aml.2003.12.005zbMath1073.34028OpenAlexW2012734655MaRDI QIDQ1767220

Guang Chong Yang

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2003.12.005

zbMATH Keywords

Schauder fixed-point theoremexistence resultsboundary layer theory

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (6)

Generalized diffusion of vortex: self-similarity and the Stefan problem ⋮ The velocity and shear stress functions of the Falkner-Skan equation arising in boundary layer theory ⋮ The equation \(f^{{\prime}{\prime}{\prime}}+ff^{{\prime}{\prime}}+g(f^{\prime})=0\) and the associated boundary value problems ⋮ Nonexistence of the reversed flow solutions of the Falkner-Skan equations ⋮ Optimal interval lengths for nonlocal boundary value problems associated with third order Lipschitz equations ⋮ On the equation \(f'+ff+\lambda (1-f^{'2})=0\) with \(\lambda\leq-\frac{1}{2}\) arising in boundary layer theory

Cites Work

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• Singular nonlinear boundary value problem arising in boundary layer theory
• Positive solutions of some second-order nonlinear singular differential equations.
• Existence of solutions to the third-order nonlinear differential equations arising in boundary layer theory

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