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Some nonlinear singularly perturbed volterra integrodifferential equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 737)

Keywords

  • Integrodifferential Equation
  • Volterra Equation
  • Convolution Type
  • Edinburgh Sect
  • Unique Local Solution

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References

  1. G. Gripenberg, On Volterra equations with nonconvolution kernels, Report — HTKKMAT-A118(1978), Helsinki Univ. of Tech., Inst. of Math.

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  2. G.S. Jordan, A nonlinear singularly perturbed Volterra integrodifferential equation of nonconvolution type, Proc. Roy. Soc. Edinburgh Sect. A, to appear.

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  3. T.R. Kiffe, On nonlinear Volterra equations of nonconvolution type, J. Differential Equations 22(1976), 349–367.

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  4. _____, A Volterra equation with a nonconvolution kernel, SIAM J. Math. Anal. 8(1977), 938–949.

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  5. _____, The asymptotic behavior of bounded solutions of a nonconvolution Volterra equation, J. Differential Equations, to appear.

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  6. J.J. Levin, A nonlinear Volterra equation not of convolution type, J. Differential Equations 4(1968), 176–186.

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  7. A.S. Lodge, J.B. McLeod, and J.A. Nohel, A nonlinear singularly perturbed Volterra integrodifferential equation occurring in polymer rheology, Proc. Roy. Soc. Edinburgh Sect. A., to appear.

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  8. C.L. Rennolet, Abstract nonlinear Volterra integrodifferential equations of non-convolution type, Thesis, Univ. of Wisconsin-Madison, 1977.

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  9. M.C. Smith, On a nonlinear Volterra equation of nonconvolution type, submitted.

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© 1979 Springer-Verlag

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Jordan, G.S. (1979). Some nonlinear singularly perturbed volterra integrodifferential equations. In: Londen, SO., Staffans, O.J. (eds) Volterra Equations. Lecture Notes in Mathematics, vol 737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064501

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  • DOI: https://doi.org/10.1007/BFb0064501

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  • Print ISBN: 978-3-540-09534-7

  • Online ISBN: 978-3-540-35035-4

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