An existence theorem for a class of nonlinear boundary value problems including that of Falkner and Skan

DOI10.1016/0022-0396(71)90025-8zbMath0219.34025OpenAlexW2062183064MaRDI QIDQ2546981

Stuart P. Hastings

Publication date: 1971

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(71)90025-8

Mathematics Subject Classification ID

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

Related Items

The velocity and shear stress functions of the Falkner-Skan equation arising in boundary layer theory, Comment on ``Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet, Similarity solutions of a boundary layer problem with a negative parameter arising in steady two-dimensional flow for power-law fluids, New results of Falkner-Skan equation arising in boundary layer theory, Nonexistence of the reversed flow solutions of the Falkner-Skan equations, Applications of Nagumo-Hukuhara theory on the boundary value problems for nonlinear ordinary differential equations to Abrikosov problem and Falkner-Skan problem, An existence theorem for some problems from boundary layer theory, Existence for a Falkner-Skan type boundary value problem, On the uniqueness and asymptotic behavior of a similarity solution for a compressible boundary layer

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The existence of similar solutions for some laminar boundary layer problems
• On the existence of a similarity solution for a compressible boundary layer
• On the differential equations of the simplest boundary-layer problems
• On a differential equation of boundary-layer theory
• Some similar laminar flows obtained by quasilinearization.
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory
• Correlated incompressible and compressible boundary layers
• Elementarer Existenzbeweis für die Strömung in der laminaren Grenzschicht zur Potentialströmung U = u₁x^m mit m > 0 bei Absaugen und Ausblasen
• Elementarer Beweis für die Eindeutigkeit der Strömung in der laminaren Grenzschicht zur Potentialströmung U_u₁x^m mit m ⩾ 0 bei Absaugen und Ausblasen