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On abstract volterra equations with kernel of positive resolvent

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

Keywords

  • Generalize Solution
  • Functional Differential Equation
  • Real Banach Space
  • Volterra Integral Equation
  • Volterra Equation

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References

  1. F. Brauer and J.A. Nohel: "Qualitative Theory of Ordinary Differential Equations", W.A. Benjamin, New York, 1969.

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  2. Ph. Clément and J.A. Nohel, Abstract linear and nonlinear Volterra equations preserving positivity, SIAM J. Math. Anal. (to appear).

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  3. M.G. Crandall, An introduction to evolution governed by accretive operators. Dynamical Systems, vol. 1, Academic Press, New York, (1976), pp. 131–165.

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  4. M.G. Crandall and J.A. Nohel, An abstract functional differential equation and a related nonlinear Volterra equation, Israel J. Math., 1978.

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  5. J.J. Levin, Resolvents and bounds for linear and nonlinear Volterra equations. Trans. Amer. Math. Soc. 228 (1977), 207–222.

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  6. R.K. Miller, On Volterra integral equations with nonnegative integrable resolvents. J. Math. Anal. Appl., 22 (1968).

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© 1979 Springer-Verlag

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Clément, P. (1979). On abstract volterra equations with kernel of positive resolvent. In: Londen, SO., Staffans, O.J. (eds) Volterra Equations. Lecture Notes in Mathematics, vol 737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064494

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  • DOI: https://doi.org/10.1007/BFb0064494

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09534-7

  • Online ISBN: 978-3-540-35035-4

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