The Lemmas of Lagrange and du Bois-Reymond

  • John L. Troutman
Part of the Undergraduate Texts in Mathematics book series (UTM)


In most of the examples in Chapter 3, we examined a real-valued function F defined on a domain of functions D. We obtained for F an integral condition in the form I(y; v) = 0, ∀ v in an auxiliary domain D0, which is sufficient to guarantee that each yD that satisfies it must minimize F on D.


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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • John L. Troutman
    • 1
  1. 1.Department of MathematicsSyracuse UniversitySyracuseUSA

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