A global bifurcation index for set-valued perturbations of Fredholm operators

DOI10.1016/j.na.2010.06.055zbMath1223.47058OpenAlexW2033764808WikidataQ96744816 ScholiaQ96744816MaRDI QIDQ988159

Wojciech Kryszewski, Dororta Gabor

Publication date: 26 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.055

zbMATH Keywords

differential inclusionFredholm operatordegree theorybifurcation theorymultivalued map

Mathematics Subject Classification ID

Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Ordinary differential inclusions (34A60) Fixed points and coincidences in algebraic topology (55M20) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcation theory of functional-differential equations (34K18)

Related Items (8)

The Krasnosel'skii formula for parabolic differential inclusions with state constraints ⋮ An approximation solvability method for nonlocal differential problems in Hilbert spaces ⋮ Alexander invariant for perturbations of Fredholm operators ⋮ A cohomological index of Fuller type for set-valued dynamical systems ⋮ A bifurcation of solutions of nonlinear Fredholm inclusions involving \(CJ\)-multimaps with applications to feedback control systems ⋮ Existence and global bifurcation of solutions for a class of operator-differential inclusions ⋮ EXISTENCE AND GLOBAL BIFURCATION OF PERIODIC SOLUTIONS TO A CLASS OF DIFFERENTIAL VARIATIONAL INEQUALITIES ⋮ On two-parameter global bifurcation of periodic solutions to a class of differential variational inequalities

Cites Work

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• Alexander invariant for perturbations of Fredholm operators
• Merging of degree and index theory
• Remarks to the orientation and homotopy in coincidence problems involving Fredholm operators of nonnegative index
• Global several-parameter bifurcation and continuation theorems: a unified approach via complementing maps
• Coincidence points for perturbations of linear Fredholm maps of index zero
• A coincidence theory involving Fredholm operators of nonnegative index
• On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications
• A generalized-degree homotopy yielding global bifurcation results
• A global bifurcation theorem for convex-valued differential inclusions
• The fixed-point index for the class of compositions of acyclic set-valued maps on ANR-s
• Orientation of Fredholm maps
• Degree and index theories for noncompact function triples
• Systems of inclusions involving Fredholm operators of nonnegative index and nonconvex-valued maps
• Some global results for nonlinear eigenvalue problems
• Borsuk's cohomotopy groups
• A global index for bifurcation of fixed points.
• Vietoris-Begle Theorem and Spectra
• On the concept of orientability for Fredholm maps between real Banach manifolds

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