Coincidence Index and Multiplicity

DOI10.2307/1997563zbMath0334.47041OpenAlexW4243389707MaRDI QIDQ4101032

B. Laloux, Jean Mawhin

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997563

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point and coincidence theorems (topological aspects) (54H25) Degree, winding number (55M25) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10)

Related Items (14)

Existence and uniqueness results for periodic solutions of differential systems with application to the competing species problem ⋮ A method of studying the existence of nontrivial solutions to some classes of operator equations with an application to resonance problems in mechanics ⋮ Asymptotic bifurcation results for coupled nonlinear wave equations with variable coefficients ⋮ Periodic solutions to nonlinear wave equations with spatially dependent coefficients ⋮ Algebraic multiplicity and topological degree for Fredholm operators ⋮ Unnamed Item ⋮ Existence of small solutions to a resonant boundary value problem with large nonlinearity ⋮ Uniqueness for small solutions to a superlinear boundary value problem at resonance ⋮ On the Leray-Schauder formula and bifurcation ⋮ Multiplicity, Leray-Schauder formula, and bifurcation ⋮ A spectral approach to local solvability of some nonlinear equations in normed spaces ⋮ Unnamed Item ⋮ Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier ⋮ On the bifurcation of large amplitude solutions for a system of wave and beam equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-linear functional equations in locally convex spaces
• The solvability of some operator equations with a quasi-bounded nonlinearity in normed spaces
• Coincidence degree and periodic solutions of neutral equations
• Periodic solutions of some vector retarded functional differential equations
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Topologie et équations fonctionnelles
• Topology and non-linear functional equations

This page was built for publication: Coincidence Index and Multiplicity