Open AccessPOSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE
Author(s) -
Chunfang Shen,
Hui Zhou,
Xiaoxiang Fan,
Liu Yang
Publication year - 2020
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/20180172
Subject(s) - boundary value problem , mathematics , mathematical analysis , resonance (particle physics) , norm (philosophy) , nonlinear system , third order , fixed point theorem , value (mathematics) , physics , statistics , philosophy , quantum mechanics , theology , epistemology
condition the associated linear operator is uninvertible. Third order differential equations arise in a variety of different areas of applied mathematics and physics, as the deflection of a curved beam having a constant or varying cross section, three layer beam and so on [20]. Recently much attention has been paid to the existence of solutions, especially for the positive solutions, of third-order multi-point boundary value problems at non-resonance (for details see [1, 21 30, 10, 7, 17, 22, 12, 27]). Anderson [1] established the existence of at least three positive solutions to
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