Positive solutions of BVPs on the half-line involving functional BCs
Autor: | Serena Matucci, Gennaro Infante |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
lcsh:Mathematics
General Mathematics Comparison results Fixed-point index Fixed point cone lcsh:QA1-939 Second order ordinary differential equation Cone (topology) functional boundary condition Mathematics - Classical Analysis and ODEs Classical Analysis and ODEs (math.CA) FOS: Mathematics Cone Fixed point index Functional boundary condition Positive global solution Applied mathematics positive global solution Half line Boundary value problem Primary 34B40 secondary 34B10 34B18 fixed point index Linear equation Mathematics |
Zdroj: | AIMS Mathematics, Vol 6, Iss 5, Pp 4860-4872 (2021) |
Popis: | We study the existence of positive solutions on the half-line of a second order ordinary differential equation subject to functional boundary conditions. Our approach relies on a combination between the fixed point index for operators on compact intervals, a fixed point result for operators on noncompact sets, and some comparison results for principal and nonprincipal solutions of suitable auxiliary linear equations. 13 pages |
Databáze: | OpenAIRE |
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