Existence of solutions to the third-order nonlinear differential equations arising in boundary layer theory
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Publication:1431823
DOI10.1016/S0893-9659(03)90003-6zbMath1054.34037MaRDI QIDQ1431823
Publication date: 11 June 2004
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)
Related Items (14)
The velocity and shear stress functions of the Falkner-Skan equation arising in boundary layer theory ⋮ Existence of solutions of laminar boundary layer equations with decelerating external flows ⋮ The equation \(f^{{\prime}{\prime}{\prime}}+ff^{{\prime}{\prime}}+g(f^{\prime})=0\) and the associated boundary value problems ⋮ Similarity solutions to the MHD boundary layer equations with a negative parameter for power-law fluids ⋮ 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 ⋮ Positive solutions of singular Dirichlet boundary value problems with sign-changing nonlinearities ⋮ Boundary-Value Problems for Third-Order Lipschitz Ordinary Differential Equations ⋮ A note on \(f+ff+\lambda(1-{f'}^2)=0\) with \(\lambda\in(-\frac{1}{2},0)\) arising in boundary layer theory. ⋮ 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 ⋮ Numerical Solution of the Falkner-Skan Equation Arising in Boundary Layer Theory Using the Sinc-Collocation Method ⋮ Existence of positive solutions for a singular third-order two-point boundary value problem on the half-line ⋮ On the equation \(f+ff+\lambda (1-f^{'2})=0\) with \(\lambda\leq-\frac{1}{2}\) arising in boundary layer theory
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