Co-bifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces

DOI10.1007/BF01781065zbMath0544.47053MaRDI QIDQ796810

Massimo Furi, Maria Patrizia Pera

Publication date: 1983

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Brouwer degreebifurcationvector fieldnonlinear eigenvalue problemsbounded Fredholm operator of index zeroRabinowitz nonbifurcation result

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (14)

A continuation theorem for periodic boundary value problems with oscillatory nonlinearities ⋮ A continuation approach to superlinear periodic boundary value problems ⋮ Sul concetto di biforcazione atipica ⋮ A note on continuation problems ⋮ Global branches of periodic solutions for forced delay differential equations on compact manifolds ⋮ NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION ⋮ On the fixed point index in locally convex spaces ⋮ Bifurcation results for a class of perturbed Fredholm maps ⋮ Bifurcation of harmonic solutions for periodically perturbed autonomous differential equations from a manifold of equilibria ⋮ On the set of harmonic solutions of a class of perturbed coupled and nonautonomous differential equations on manifolds ⋮ \((0,k)\)-epi mappings. Applications to complementarity theory ⋮ Atypical bifurcation without compactness ⋮ PERSISTENCE OF THE NORMALIZED EIGENVECTORS OF A PERTURBED OPERATOR IN THE VARIATIONAL CASE ⋮ CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS

Cites Work

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• On the solvability of nonlinear operator equations in normed spaces
• Some global results for nonlinear eigenvalue problems
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Some aspects of nonlinear eigenvalue problems
• Large oscillations of forced nonlinear differential equations
• An elementary approach to boundary value problems at resonance

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