The Degree of Compact Multivalued Perturbations of Fredholm Mappings of Positive Index and Its Application to a Certain Optimal Control Problem
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-017-3379-3
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… read more here.
Keywords: index; mappings positive; perturbations fredholm; fredholm mappings ... See more keywords
Topological degree and atypical bifurcation results for a class of multivalued perturbations of Fredholm maps in Banach spaces
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DOI: 10.24193/fpt-ro.2017.1.08
Abstract: We obtain a global (atypical) bifurcation result for a semilinear inclusion problem in Banach spaces. The approach is topological, making use of a topological degree introduced by the second author for locally compact multivalued perturbations… read more here.
Keywords: banach spaces; fredholm maps; atypical bifurcation; multivalued perturbations ... See more keywords