The Degree of Compact Multivalued Perturbations of Fredholm Mappings of Positive Index and Its Application to a Certain Optimal Control Problem

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 multivalue...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 223; no. 6; pp. 695 - 710
Main Author Zvyagin, V. G.
Format Journal Article
LanguageEnglish
Published New York Springer US 09.06.2017
Springer
Springer Nature B.V
Subjects
Differential equations
Mathematics
Mathematics and Statistics
Optimal control
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3379-3