Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem (Q1902880)

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scientific article; zbMATH DE number 822822
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Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem
scientific article; zbMATH DE number 822822

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    Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem (English)
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    3 December 1995
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    The paper uses the idea of upper and lower solutions to establish the existence of solutions to two-point boundary value problems for a class of nonlinear ordinary differential equations. The equations considered arise in the study of the p-Laplacian, diffusion theory, fluid mechanics and of a gas in a porous medium. The existence of similarity solutions to a certain Rayleigh problem is also considered.
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    upper and lower solutions
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    two-point boundary value problems
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    diffusion theory
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    fluid mechanics
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    similarity solutions
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    Rayleigh problem
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