Comment on “Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet”

AbstractThe article named above appeared recently in Applied Mathematics Letters and investigated a boundary value problem governing viscous flow over a nonlinearly stretching sheet. The authors of the work assert existence and (under certain restrictions) uniqueness of a solution to the problem for all relevant values of the parameter governing the stretching rate of the sheet. Unfortunately, several proofs presented in the article are incorrect. We will prove that for a range of parameter space the solution to the BVP is not unique. For these parameter values there are infinitely many solutions to the problem. The same incorrect analysis is reproduced in several other papers (see the references). Some of the claims of these papers are contradicted by established results on, for example, the Falkner–Skan problem