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Asymptotic Theory for Third-Order Differential Equations of Euler Type

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References

  1. A.S.A. Al-Hammadi. Asymptotic theory for third-order differential equations. Mathematika, 35 (1988), 225–232.

    Article  MathSciNet  MATH  Google Scholar 

  2. M.S.P. Eastham. Asymptotic formulae of Liouville-Green type for higher-order differential equations. J. London Math. Soc. (2), 28 (1983), 507–518.

    Article  MathSciNet  MATH  Google Scholar 

  3. M.S.P. Eastham. The asymptotic solution of linear differential systems. Mathematika, 32(1985), 131–138.

    Article  MathSciNet  MATH  Google Scholar 

  4. M.S.P. Eastham. Asymptotic theory for a critical class of fourth-order differential equations, Proc. Roy. Soc. London, A 383 (1982), 465–476.

    Article  MathSciNet  MATH  Google Scholar 

  5. M.S.P. Eastham. A repeated transformation in the asymptotic solution of linear differential systems. Proc. Roy. Soc. Edinburgh, 102A (1986), 173–188.

    Article  MathSciNet  Google Scholar 

  6. W. N. Everitt and A. Zettl. Generalized symmetric ordinary differential expressions I: the general theory. Nieuw Arch. Wisk., 27(1979), 363–397.

    MathSciNet  MATH  Google Scholar 

  7. N. Levinson. The asymptotic nature of solutions of linear differential equations. Duke Math. J., 15(1948), 111–126.

    Article  MathSciNet  MATH  Google Scholar 

  8. G.W. Pfeiffer. Asymptotic solutions of y‴ + qy′ + ry = 0. J. Diff. Equations, 11 (1972), 145–155.

    Article  MathSciNet  MATH  Google Scholar 

  9. K. Unsworth. Asymptotic expansions and deficiency indices associated with third-order self-adjoint differential operators. Quart. J. Math. Oxford (2) 24 (1973), 177–188.

    Article  MathSciNet  MATH  Google Scholar 

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  1. Department of Mathematics, University of Bahrain, State of Bahrain /Isa Town

    A. S. A. AL-Hammadi

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  1. A. S. A. AL-Hammadi
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AL-Hammadi, A.S.A. Asymptotic Theory for Third-Order Differential Equations of Euler Type. Results. Math. 17, 1–14 (1990). https://doi.org/10.1007/BF03322625

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