On the equationf''' +f f'' + [lambda](1 -f'2)= 0 with [lambda] <= -1/2 arising in boundary layer theory

Abstract

For any fixed λ ≤ -1/2, there exists f(η) ε C^sup 1^[0,+∞) which satisfies the following nonlinear boundary value problemf''' +f f'' + λ(1 -f'^sup 2^) = 0a.e.in (0,+∞),f(0)=0,f'(0)=0,f'(+∞) = 1, which arises in boundary layer theory in fluid mechanics.[PUBLICATION ABSTRACT]