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arxiv: 1401.4049 · v4 · pith:TH6EM347new · submitted 2014-01-16 · 🧮 math.CA

On some strengthening of the global implicit function theorem with an application to a Cauchy problem for an integro-differential Volterra system

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keywords applicationcauchyfunctionglobalimplicitintegro-differentialproblemsome
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In the paper, we improve our earlier results concerning the existence, uniqueness and differentiability of a global implicit function. Some application to a Cauchy problem for an integro-differential Volterra system of nonconvolution type, is given.

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