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Nonlinear second order boundary value problems: An existence-uniqueness theorem of S. N. Bernstein

Part of the Lecture Notes in Mathematics book series (LNM,volume 1032)

Keywords

  • Global Existence
  • Lipschitz Condition
  • Mixed Boundary Condition
  • General Boundary Condition
  • Order Boundary

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References

  1. N. I. Akhiezer, The Calculus of Variations, Blaisdell, New York, 1962.

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  2. P. Bailey, L. F. Shampine, and P. Waltman, Nonlinear Two Point Boundary Value Problems, Academic Press, New York, 1968.

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  5. S. R. Bernfield and V. Lakshmikantham, An Introduction to Nonlinear Boundary Value Problems, Academic Press, New York, 1974.

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  6. S. N. Bernstein, Sur les equations du calcul des variations, Ann. Sci. Ecole Norm. Sup. 29 (1912), 431–485.

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© 1983 Springer-Verlag

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Baxley, J.V. (1983). Nonlinear second order boundary value problems: An existence-uniqueness theorem of S. N. Bernstein. In: Everitt, W.N., Lewis, R.T. (eds) Ordinary Differential Equations and Operators. Lecture Notes in Mathematics, vol 1032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076790

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  • DOI: https://doi.org/10.1007/BFb0076790

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  • Print ISBN: 978-3-540-12702-4

  • Online ISBN: 978-3-540-38689-6

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