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A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems. (English) Zbl 1211.34037
Existence and uniqueness results are obtained for a class of boundary value problems on semi-infinite intervals for coupled third-order nonlinear ordinary differential equations. The considered problems arise in connection with heat and mass transfer phenomena.

34B40 Boundary value problems on infinite intervals for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34B60 Applications of boundary value problems involving ordinary differential equations
Full Text: DOI
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