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.
On Coincidence Index for Multivalued Perturbations of Nonlinear Fredholm Maps and Some Applications / V. Obukhovski; P. Zecca; V. Zvyagin. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - STAMPA. - 7:(2002), pp. 295-322. [10.1155/S1085337502002853]
On Coincidence Index for Multivalued Perturbations of Nonlinear Fredholm Maps and Some Applications
ZECCA, PIETRO;
2002
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.
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