Fixed points of mapping of Banach manifolds and some applications

DOI10.1016/0362-546X(80)90046-2zbMath0427.58009OpenAlexW1990599519MaRDI QIDQ3862763

Yu. G. Borisovich, Yuri E. Gliklikh

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(80)90046-2

zbMATH Keywords

fixed pointdegreenonlinear eigenvalue problemfunctional differential equationLefschetz numbercondensing mappingFredholm mapping

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30) Functional-differential equations in abstract spaces (34K30) (Semi-) Fredholm operators; index theories (47A53) Fixed points and coincidences in algebraic topology (55M20)

Related Items (4)

Integral operators, guiding potentials and periodic solutions of differential inclusions on non-compact Lie groups ⋮ Condensing operators ⋮ A continuation theorem for the periodic BVP in flow-invariant ENRs with applications ⋮ Guiding potentials and bounded solutions of differential equations on finite-dimensional non-compact manifolds

Cites Work

• The imbedding problem for Riemannian manifolds
• Functional differential equations on compact manifolds and an approximation theorem
• The homotopy theory of coincidences
• Sur les équations et les transformations
• Théorie des points fixes : indice total et nombre de Lefschetz
• Fixed Point Theorems on Infinite Dimensional Manifolds
• The topological degree for noncompact nonlinear mappings in Banach spaces
• Isometric embeddings of Riemannian and pseudo-Riemannian manifolds.
• LIMIT-COMPACT AND CONDENSING OPERATORS
• Degree of Mapping in Convex Linear Topological Spaces
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