Summary
This note corrects au error in the continuous dependence theorem of an earlier paper on the subject stated in the title. Here it is shows that the topology of one of the spaces of functions can be modified in order to obtain the desired continuity results.
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R. K. Miller andG. R. Sell,Existence, uniqueness and continuity of solutions of integral equations, Ann. di Mat. Pura ed Appl.80 (1968), pp. 135–152.
R. K. Miller andG. R. Sell,Volterra integral equations and topological dynamics, Memoir of Amer. Math. Soc. Number 102, Amer. Math. Soc., 1970.
L. W. Neustadt,On the solutions of certain integral-like operator equations. Existence, uniqueness and dependence theorems, (to appear).
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This research was support in part by the National Aeronautics Space Administration under Grant No. NGL-40-002-015, and in part by the U. S. Air Force under Grant No. AF-AFOSR-67-0693A.
This research was supported in part by the National Science Foundation under Grant No. GP-3904 and GP-7041 and in part by the U.S. Army under Grant No. D1-31-124-ARO-D-265.
Entrata in Redazione il 10 aprile 1970.
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Miller, R.K., Sell, G.R. Existence, uniqueness and continuity of solutions of integral equations. An addendum. Annali di Matematica 87, 281–286 (1970). https://doi.org/10.1007/BF02411981
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DOI: https://doi.org/10.1007/BF02411981