Abstract
Solutions to the fourth order non-linear systems arising in combined free and forced convection flow of a second order fluid, over a stretching sheet, are obtained. Existence (or non-existence) and uniqueness (or non-uniqueness) results of the problem are obtained and discussed. Moreover, ranges of parametric values are obtained for which the system has a unique pair of solutions, a double pair of solutions, and infinitely many monotonically decaying solutions at infinity.
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