Leggett--Williams theorems for coincidences of multivalued operators

DOI10.1016/j.na.2007.02.034zbMath1152.47041OpenAlexW2034738748MaRDI QIDQ2483356

Mirosława Zima, Donal O'Regan

Publication date: 28 April 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.02.034

zbMATH Keywords

fixed pointdifferential inclusionperiodic solutionpositive solutiontopological degreeFredholm operatorcoincidence pointmultivalued map

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Degree theory for nonlinear operators (47H11) Ordinary differential inclusions (34A60)

Related Items (9)

Positive solutions of fractional differential inclusions at resonance ⋮ Positive solutions for resonant and nonresonant nonlinear third-order multipoint boundary value problems ⋮ New cone fixed point theorems for nonlinear multivalued maps with their applications ⋮ Existence of multiple solutions for a wide class of differential inclusions^† ⋮ Multiple solutions of nonlinear Neumann inclusions ⋮ Attainability to solve fractional differential inclusion on the half line at resonance ⋮ On the existence of positive solutions of resonant and nonresonant multipoint boundary value problems for third-order nonlinear differential equations ⋮ Positive solutions of multi-point boundary value problems with multivalued operators at resonance ⋮ POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

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