An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations

DOI10.1155/AAA/2006/51794zbMath1130.47034OpenAlexW2056276015MaRDI QIDQ2491430

Pietro Zecca, Viktor G. Zvyagin, Valerii V. Obukhovskij

Publication date: 29 May 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53747

zbMATH Keywords

coincidence pointsapproximable maps of compact type

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Equations involving nonlinear operators (general) (47J05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Degree theory for nonlinear operators (47H11) Ordinary differential inclusions (34A60)

Related Items

The degree of compact multivalued perturbations of Fredholm mappings of positive index and its application to a certain optimal control problem, Topological degree of condensing multi-valued perturbations of the \((S)_+\)-class maps and its applications, The oriented degree of multivalued perturbations of Fredholm mappings of positive index, A bifurcation of solutions of nonlinear Fredholm inclusions involving \(CJ\)-multimaps with applications to feedback control systems, Application of a coincidence index to some classes of impulsive control systems, Eigenvalue problems for Fredholm operators with set-valued perturbations, On inclusions with multivalued operators and their applications to some optimization problems

Cites Work

• On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts
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• On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications
• TOPOLOGICAL METHODS IN THE FIXED-POINT THEORY OF MULTI-VALUED MAPS
• NON-LINEAR FREDHOLM MAPS AND THE LERAY-SCHAUDER THEORY
• The coincidence index for fundamentally contractible multivalued maps with nonconvex values
• On decreasing sequences of compact absolute retracts
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