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On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications

Valeri Obukhovskii, Pietro Zecca and Victor Zvyagin

Abstract and Applied Analysis, 2002, vol. 7, 1-28

Abstract:

We define a nonoriented coincidence index for a compact, fundamentally restrictible, and condensing multivalued perturbations of a map which is nonlinear Fredholm of nonnegative index on the set of coincidence points. As an application, we consider an optimal controllability problem for a system governed by a second-order integro-differential equation.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:747292

DOI: 10.1155/S1085337502002853

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