Systems of inclusions involving Fredholm operators of nonnegative index and nonconvex-valued maps

DOI10.1007/s11228-004-6344-5zbMath1100.47052OpenAlexW2082050985WikidataQ96744844 ScholiaQ96744844MaRDI QIDQ2490470

Dororta Gabor, Wojciech Kryszewski

Publication date: 2 May 2006

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-004-6344-5

zbMATH Keywords

differential inclusionboundary value problemtopological degreecoincidence indexperiodic problemmultivalued mapsystem of inclusionscohomotopy theorylinear Fredholm mapnonnegative index

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Periodic solutions to ordinary differential equations (34C25) Fixed-point theorems (47H10) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Ordinary differential inclusions (34A60) (Semi-) Fredholm operators; index theories (47A53) Fixed points and coincidences in algebraic topology (55M20) Cohomotopy groups (55Q55)

Related Items (4)

Alexander invariant for perturbations of Fredholm operators ⋮ A bifurcation of solutions of nonlinear Fredholm inclusions involving \(CJ\)-multimaps with applications to feedback control systems ⋮ A global bifurcation index for set-valued perturbations of Fredholm operators ⋮ On two-parameter global bifurcation of periodic solutions to a class of differential variational inequalities

Cites Work

• On the solvability of systems of non-convex inclusions in Banach spaces
• The fixed point transfer of fiber-preserving maps
• A coincidence theory involving Fredholm operators of nonnegative index
• On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications
• Some homotopy classification and extension theorems for the class of compositions of acyclic set-valued maps
• Borsuk's cohomotopy groups
• Multi-valued maps of subsets of Euclidean spaces
• On the Solvability of Systems of Inclusions Involving Noncompact Operators
• On the solvability of systems of noncompact and nonconvex inclusions
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