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Upper and Lower Solutions in the Theory of Ode Boundary Value Problems: Classical and Recent Results

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Book cover Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 371))

Abstract

The method of upper and lower solutions for ordinary differential equation was introduced in 1931 by G. Scorza Dragoni for a Dirichlet problem. Since then a large number of contributions enriched the theory. Among others, one has to point out the pioneer work of M. Nagumo who associated his name with derivative dependent right hand side.

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    C. De Coster & P. Habets

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    F. Zanolin

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De Coster, C., Habets, P. (1996). Upper and Lower Solutions in the Theory of Ode Boundary Value Problems: Classical and Recent Results. In: Zanolin, F. (eds) Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations. International Centre for Mechanical Sciences, vol 371. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2680-6_1

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