Continuation fixed point theorems for locally convex linear topological spaces

DOI10.1016/0895-7177(96)00107-0zbMath0896.47045OpenAlexW2014184079WikidataQ126989307 ScholiaQ126989307MaRDI QIDQ1376598

Donal O'Regan

Publication date: 6 October 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(96)00107-0

zbMATH Keywords

continuation principlesconcentrative operators between locally convex linear topological spacessecond-order boundary value problem on a semi-infinite interval

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10)

Related Items

Random fixed point theory for multivalued maps ⋮ Variational Properties of the Solutions for Second-Order Differential Equations and Systems on Semi-Line ⋮ A note on fixed point theorems in shells of Banach spaces for weakly condensing operators ⋮ Boundary value problems of nonsingular type on the semi-infinite interval ⋮ Fixed-point and random fixed-point theorems in cones of Banach spaces ⋮ Existence and asymptotic behavior of solutions of a boundary value problem on an infinite interval ⋮ Approximation of solutions of nonlinear operator equation on the half line

Cites Work

• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
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• A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
• Existence theorems for nonlinear integral equations of Hammerstein type
• An Elementary Version of the Leray-Schauder Theorem
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