A note on ƒ‴ + ƒƒ″ + λ(1 − ′2) = 0with λ ∈ (− ½, 0) arising in boundary layer theory

• DOI: 10.1016/j.aml.2003.12.005
• Publication Date: 2005-01-19T12:31:05Z
• Authors: Guang Chong Yang
• Keywords: Boundary value problems; Fixed points; Applied Mathematics; Existence results; 0101 mathematics; 01 natural sciences

AbstractFor any λ ∈ (−1/2, 0), there exists ƒ (η) ε C1[0, +∞) such that ƒ‴ + ƒƒ″ + λ(1 − ƒ′2) = 0, a.e. in (0,+∞), ƒ(0) = 0, ƒ′(0) = 0, ƒ′(+∞) = 1, which arises in boundary layer theory in fluid mechanics.