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A nonlinear variation of constants formula for volterra equations

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References

  1. V. M. Alekseev, An estimate for the perturbations of the solutions of ordinary differential equations,Vestnik Moskov. Univ. Ser. I. Mat. Meh. No.2 (1961), 28–36 (Russian).

    Google Scholar 

  2. R. K. Miller, On the linearization of Volterra integral equations,J. Math. Anal. Appl. 23 (1968), 198–208.

    Google Scholar 

  3. R. K. Miller, J. A. Nohel andJ. S. W. Wong, Perturbations of Volterra integral equations,J. Math. Anal. Appl. 26 (1969), 676–691.

    Google Scholar 

  4. R. K. Miller, J. A. Nohel andJ. S. W. Wong, A stability theorem for nonlinear mixed integral equations,J. Math. Anal. Appl. 25 (1969), 446–449.

    Google Scholar 

  5. R. K. Miller andG. R. Sell, Existence, uniqueness, and continuity of solutions of integral equations,Ann. Mat. Pura. Appl. (4) 80 (1968), 135–152.

    Google Scholar 

  6. J. A. Nohel, Some problems in nonlinear Volterra integral equations,Bull. Amer. Math. Soc. 68 (1962), 323–329.

    Google Scholar 

  7. T. Saito, Sur l'équation intégrale non linéaire de Volterra,Compositio Math. 11 (1953), 271–290.

    Google Scholar 

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Sponsored by the United States Army under Contract No.: DA-31-124-ARO-D-462 and by the National Science Foundation, under Contract No.: GP-11495.

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Brauer, F. A nonlinear variation of constants formula for volterra equations. Math. Systems Theory 6, 226–234 (1972). https://doi.org/10.1007/BF01706091

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