An overview of the lower and upper solutions method with nonlinear boundary value conditions (Q610850)

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scientific article; zbMATH DE number 5825775
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An overview of the lower and upper solutions method with nonlinear boundary value conditions
scientific article; zbMATH DE number 5825775

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    An overview of the lower and upper solutions method with nonlinear boundary value conditions (English)
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    13 December 2010
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    This is a nice and well documented survey article on the use of lower and upper solutions in the study of second order differential equations of the type \[ u'' = f(t,u,u') \] and, more generally, of the types \[ (|u'|^{p-2}u')' = f(t,u,u'),\quad (r(t)u')' = f(t,u,u'), \quad (k(u)u')' = f(t,u,u') \] subject to two-point and to functional nonlinear boundary conditions.
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    lower and upper solutions
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    nonlinear boundary conditions
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    Nagumo condition
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