Geodesic
The degree of compact multivalued perturbations of Fredholm mappings of positive index and its application to a~certain optimal control problem
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 2, pp. 65-87

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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 approximation. In this paper, similar characteristic is constructed for multivalued perturbations of Fredholm mappings of positive index and its application is given to the problem of the existence of an optimal solution for the boundary-value problem in the theory of ordinary differential equations with feedback. 
@article{FPM_2015_20_2_a4,
     author = {V. G. Zvyagin},
     title = {The degree of compact multivalued perturbations of {Fredholm} mappings of positive index and its application to a~certain optimal control problem},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {65--87},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2015_20_2_a4/}
}
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V. G. Zvyagin. The degree of compact multivalued perturbations of Fredholm mappings of positive index and its application to a~certain optimal control problem. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 2, pp. 65-87. http://geodesic.mathdoc.fr/item/FPM_2015_20_2_a4/