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Initial value problem of an ordinary differential equation of the second order

  • Section II
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Japan-United States Seminar on Ordinary Differential and Functional Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 243))

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References

  1. M.J. Lighthill, A technique for rendering approximate solutions to physical problem uniformly valid, Philos.Mag.,40(1949),1179–1201.

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  2. Y. Sibuya and K. Takahasi, On the differential equation (x+ u)du/dx +q(x)u=r(x), Funk.Ekv.,9(1966),1–17.

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  3. K.Takahasi, A note on PLK-method, Proc.US-Japan Sem. Diff.Func.Eq.,(1967),507–517.

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  4. K. Takahasi, An application of PLK-method for second order nonlinear ordinary differential equations,RIMS Rep.,67(1969),85–99.

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  5. K. Takahasi, Initial value problem of an ordinary nonlinear differential equation of the second order(in Japanese),Funk.Ekv. (Internal Series)23(1970),1–10.

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  6. W. Wasow, On the convergence of an approximate method of M.J.Lighthill, Jour.Rat.Mech.Anal.,4(1955),751–767, and Correction.

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Authors

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Minoru Urabe

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© 1971 Springer-Verlag

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Takahasi, Ki. (1971). Initial value problem of an ordinary differential equation of the second order. In: Urabe, M. (eds) Japan-United States Seminar on Ordinary Differential and Functional Equations. Lecture Notes in Mathematics, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058747

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  • DOI: https://doi.org/10.1007/BFb0058747

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05708-6

  • Online ISBN: 978-3-540-37080-2

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