Implicitly defined mappings in locally convex spaces

McDermott, Terrence S.

doi:10.1090/S0002-9947-1971-0283536-2

Implicitly defined mappings in locally convex spaces
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by Terrence S. McDermott

Trans. Amer. Math. Soc. 161 (1971), 89-99

DOI: https://doi.org/10.1090/S0002-9947-1971-0283536-2

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Abstract:

Results on existence, uniqueness, continuity and differentiability of implicit functions in locally convex, linear topological spaces are obtained, and certain of these results are applied to obtain results on the existence and continuous dependence on parameters of global solutions for a nonlinear Volterra integral equation.

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Sur l’équation intégrale non linéaire de Volterra

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