Existence of solutions to the third-order nonlinear differential equations arising in boundary layer theory Original Research Article

By a new approach, we prove in this paper that there exists View the MathML source such that the following third-order nonlinear boundary value problem for f(η): f‴+ff″+λ(1−f′2)=0, 0<η<∞ , f(0)=0, f′(0)=0, f′(+∞)=1, which arises in boundary layer theory in fluid mechanics, has a solution at least for any fixed λϵ (λ0, 0).