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

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Equadiff 82

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1017))

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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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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California at Davis, 95616, Davis, California

    Allan L. Edelson

  2. Department of Mathematics, Michigan State University, 48824, East Lansing, Michigan

    Jerry D. Schuur

Authors
  1. Allan L. Edelson
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  2. Jerry D. Schuur
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H. W. Knobloch Klaus Schmitt

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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

  • eBook Packages: Springer Book Archive

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