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