On the structure of fixed point sets of compact maps in \(B_ 0\) spaces with applications to integral and differential equations in unbounded domain

DOI10.1016/0022-247X(91)90077-DzbMath0729.47054MaRDI QIDQ806023

Tadeusz Pruszko, Krzysztof Czarnowski

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Darboux problem of an hyperbolic equationfixed point set of compact operatorsKrasnosel'skij-Perov theoremNagumo's extension of the Leray- Schauder degreeoperators in locally convex spacesstructure of the fixed point set of a nonlinear Uryson integral operator

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25)

Related Items (8)

Existence of bounded solutions of integral boundary value problems for singular differential equations on whole lines ⋮ Topological structure of solution sets for impulsive differential inclusions in Fréchet spaces ⋮ Topological structure of solution sets to multi-valued asymptotic problems ⋮ Unnamed Item ⋮ On the connectedness of the set of fixed points of a compact operator in the Fréchet space $C^m(\langle b,\infty),\bold R^n)$ ⋮ Unnamed Item ⋮ Topological structure of solution sets to asymptotic boundary value problems ⋮ Acyclicity of solution sets to functional inclusions

Cites Work

• Le correspondant topologique de l'unicité dans la théorie des équations différentielles
• On the structure of the set of solutions of the Darboux problem for hyperbolic equations
• Degree of Mapping in Convex Linear Topological Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

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