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Equadiff 82 pp 157–160Cite as

Asymptotic and strong asymptotic equivalence to polynomials for solutions of nonlinear differential equations

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References

  1. Edelson, A. L. and J. D. Schuur, "Nonoscillatory solutions of (rx(n))(n)±xf(t,x)=0", Pacific J. Math. (to appear).

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  2. Edelson, A. L. and J. D. Schuur, "Increasing solutions of (r(t)x(n))(n)=xf(t,x)", (preprint).

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  3. Hardy, G. H., "Divergent Series", Oxford University Press, London.

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  4. Kusano, T. and M. Naito, "Nonlinear oscillation of fourth order differential equations", Can. J. Math. XXVIII (1972), 840–852.

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  5. Schuur, J. D., "Qualitative behavior of ordinary differential equations of the quasilinear and related types," Proc. of International Conf. on Nonlinear phenomena in abstract spaces (V. Lakshmikantham, Ed.) Univ. Texas-Arlington, 1980.

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  6. Kreith, K., "Extremal solutions for a class of nonlinear differential equations", Proc. Amer. Math. Soc. 79 (1980), 415–421.

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  7. Edelson, A. L. and E. Perri, "Asymptotic behaviour of nonoscillatory equations", (preprint).

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  8. Kamke, E., "Differentialgleichungen Lösungsmethoden und Lösungen", Chelsa Publishing Co., New York 1971.

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© 1983 Springer-Verlag

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Edelson, A.L., Schuur, J.D. (1983). Asymptotic and strong asymptotic equivalence to polynomials for solutions of nonlinear differential equations. In: Knobloch, H.W., Schmitt, K. (eds) Equadiff 82. Lecture Notes in Mathematics, vol 1017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103247

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  • DOI: https://doi.org/10.1007/BFb0103247

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12686-7

  • Online ISBN: 978-3-540-38678-0

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