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Singularly perturbed boundary value problems revisited

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Symposium on Ordinary Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 312))

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References

  1. K. W. Chang. "Remarks on a certain hypothesis in singular pertubations", Proc. Amer. Math. Soc. 23(1969), 41–45.

    Article  MathSciNet  Google Scholar 

  2. K. W. Chang. "Singular perturbations of a general boundary value problem", (to appear).

    Google Scholar 

  3. G. G. Chapin, Jr. One and two point boundary value problems for ordinary differential equations containing a parameter, Ph.D. Thesis, University of Minnesota, Minneapolis, 1959.

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  4. W. A. Harris, Jr. "Singular perturbations of two-point boundary problems for systems of ordinary differential equations," Arch. Rat. Mech. Anal. 5 (1960), 212–225.

    Article  MathSciNet  MATH  Google Scholar 

  5. W. A. Harris, Jr. "Singular perturbations of two point boundary problems," J. Math. Mech. 11 (1962), 371–382.

    MathSciNet  MATH  Google Scholar 

  6. W. A. Harris, Jr. "Equivalent classes of singular perturbation problems," Rend. Circ. Matem. di Palermo, 14 (1965), 1–15.

    MathSciNet  MATH  Google Scholar 

  7. R. E. O'Malley, Jr. "Boundary value problems for linear systems of ordinary differential equations involving many small parameters," J. Math. Mech. 18 (1969), 835–855.

    MathSciNet  MATH  Google Scholar 

  8. R. E. O'Malley, Jr. and J. B. Keller. "Loss of boundary conditions in the asymptotic solution of linear differential equations. II. Boundary value problems," Comm. Pure Appl. Math. 21 (1968), 263–270.

    Article  MathSciNet  MATH  Google Scholar 

  9. Y. Sibuya. "Sur réduction analytique d'an systeme d'equations différentielles ordinaires linéaires contenant un paramètre", J. Fac. Sci, Univ. Tokyo, Sec 1. 7 (1968), 527–540.

    MathSciNet  MATH  Google Scholar 

  10. W. Wasow. "On the asymptotic solution of boundary value problems for ordinary differential equations containing a parameter," J. Math. Phys. 23 (1944), 173–183.

    Article  MathSciNet  MATH  Google Scholar 

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William A. Harris Jr. Yasutaka Sibuya

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© 1973 Springer-Verlag

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Harris, W.A. (1973). Singularly perturbed boundary value problems revisited. In: Harris, W.A., Sibuya, Y. (eds) Symposium on Ordinary Differential Equations. Lecture Notes in Mathematics, vol 312. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060045

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  • DOI: https://doi.org/10.1007/BFb0060045

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06146-5

  • Online ISBN: 978-3-540-38353-6

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