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Boundary value problems involving the Thomas-Fermi equation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 280)

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Slight Modification
  • Tangent Line

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References

  1. P. Bailey, L. Shampine and P. Waltman, Existence and uniqueness of solutions of the second-order boundary value problem, Bull. Amer. Math. Soc. 72 (1966) 96–98; MR 32 #1392.

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  2. P. Bailey, L. Shampime and P. Waltman, The first and second boundary value problems for nonlinear second-order differential equations, J. Differential Equations, 2 (1966), 399–411; MR 34 #7871.

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  3. John H. Barrett and John S. Bradley, Ordinary Differential Equations, Intext Educational Publishers, Scranton, Pa. 18515, 1972.

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  6. Einar Hille, Some aspects of the Thomas-Fermi equation, J. Analyse Math., 23 (1970), 147–170.

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  7. Einar Hille, Aspects of Emden's equation, Journal of the Faculty of Science, University of Tokyo, Sec. I, Vol. 17 (1970), 11–30.

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  8. Lloyd K. Jackson, Subfunctions and second-order ordinary differential inequalities, Advances in Math. 2 (1968), 307–363; MR 37 #5462.

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  10. I. G. Petrovski, Ordinary Differential Equations, Prentice-Hall, Inc., 1966.

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  11. W. T. Reid, Ordinary Differential Equations, John Wiley and Sons, Inc., 1971.

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© 1972 Springer-Verlag

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Bradley, J.S. (1972). Boundary value problems involving the Thomas-Fermi equation. In: Everitt, W.N., Sleeman, B.D. (eds) Conference on the Theory of Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066933

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  • DOI: https://doi.org/10.1007/BFb0066933

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05962-2

  • Online ISBN: 978-3-540-37618-7

  • eBook Packages: Springer Book Archive