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Some notes on the resolvents of volterra integral equations

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Volterra Equations

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

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References

  1. C. Corduneanu, "Problemes globaux dans la theorie des equations integrales de Volterra, Ann. Mat. Pura. Appl., 67(1965), 349–363.

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  2. S. I. Grossman, "Integrability of resolvents of certain Volterra integral equations", J. Math. Anal. Appl. 48(1974), 785–793.

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

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  4. R. K. Miller, Nonlinear Volterra Integral Equations, Benjamin, Menlo Park, Calif., 1971.

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  5. __, "On Volterra integral equations with nonnegative integrable resolvents", J. Math. Anal. Appl. 22(1968), 319–340.

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  6. R. E. A. C. Paley and N. Wiener, Fourier Transforms in the Complex Domain, Amer. Math. Soc. Collon. Publ., Vol. 19, Amer. Math. Soc., Providence, R.I., 1934.

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  7. D. F. Shea and S. Wainger, "Variants of the Wiener-Levy theorem with applications to stability problems for some Volterra integral equations", Amer. J. Math. 97(1975), 312–343.

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Authors and Affiliations

  1. Department of Mathematics, University of Montana, 59801, Missoula, Montana, USA

    Stanley I. Grossman

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  1. Stanley I. Grossman
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Stig-Olof Londen Olof J. Staffans

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© 1979 Springer-Verlag

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Grossman, S.I. (1979). Some notes on the resolvents of volterra integral equations. In: Londen, SO., Staffans, O.J. (eds) Volterra Equations. Lecture Notes in Mathematics, vol 737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064498

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  • DOI: https://doi.org/10.1007/BFb0064498

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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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