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Earlier a topological characteristic of the degree type for multivalued perturbations of Fredholm mappings with zero index was constructed and it was assumed that the multivalued perturbation permits a single-valued… Click to show full abstract
Earlier a topological characteristic of the degree type for multivalued perturbations of Fredholm mappings with zero index was constructed and it was assumed that the multivalued perturbation permits a single-valued approximation. In this paper, a similar characteristic is constructed for multivalued perturbations of Fredholm mappings of positive index, and its application is given to the problem of existence of an optimal solution for the boundary-value problem in the theory of ordinary differential equations with feedback.
Journal Title: Journal of Mathematical Sciences
Year Published: 2017
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