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Asymptotic analysis of a class of nonlinear integral equations

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Nonlinear Problems in the Physical Sciences and Biology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 322))

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References

  1. R. A. Handelsman and J. S. Lew, "Asymptotic expansion of a class of Laplace transforms near the origin", SIAM J. Math. Anal. 1 (1970).

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  2. R. A. Handelsman and J. S. Lew, "Asymptotic expansion of Laplace convolution for large argument and tail densities for certain sums of random variables", IBM Research Report RC 3869, 1972.

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  3. R. A. Handelsman and W. E. Olmstead, "Asymptotic solution to a class of nonlinear Volterra integral equations", SIAM J. Appl. Math. 22 (1972).

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  4. J. B. Keller and W. E. Olmstead, "Temperature of a nonlinearly radiating semi-infinite solid", Quart. Appl. Math. 29 (1972).

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  5. B. J. Matkowsky and E. L. Reiss, "On the asymptotic theory of dissipative wave motion", Arch. Rational Mech. Anal., 42 (1971).

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  6. W. E. Olmstead and R. A. Handelsman, "Singular perturbation analysis of a certain Volterra integral equation", Z. Angew. Math. Phys. (to appear).

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  7. E. L. Reiss, "On multivariable asymptotic expansions", SIAM Review, 13 (1971).

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Author information

Authors and Affiliations

  1. University of Illinois at Chicago Circle, USA

    Richard A. Handelsman

  2. Northwestern University, USA

    W. E. Olmstead

Authors
  1. Richard A. Handelsman
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  2. W. E. Olmstead
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Editor information

Ivar Stakgold Daniel D. Joseph David H. Sattinger

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© 1973 Springer Verlag

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Handelsman, R.A., Olmstead, W.E. (1973). Asymptotic analysis of a class of nonlinear integral equations. In: Stakgold, I., Joseph, D.D., Sattinger, D.H. (eds) Nonlinear Problems in the Physical Sciences and Biology. Lecture Notes in Mathematics, vol 322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060564

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  • DOI: https://doi.org/10.1007/BFb0060564

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06251-6

  • Online ISBN: 978-3-540-38558-5

  • eBook Packages: Springer Book Archive

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