Existence and uniqueness of convex monotone positive solutions for boundary value problems of an elastic beam equation with a parameter

DOI10.14232/EJQTDE.2015.1.81zbMath1349.34090OpenAlexW2260293392WikidataQ115238336 ScholiaQ115238336MaRDI QIDQ2803212

Chunrong Jiang, Cheng-Bo Zhai

Publication date: 3 May 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2015.1.81

zbMATH Keywords

existence and uniquenesselastic beam equationfixed point theorem for mixed monotone operatorsconvex monotone positive solution

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

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Approximating monotone positive solutions of a nonlinear fourth-order boundary value problem via sum operator method ⋮ Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters ⋮ Monotone positive solution of fourth order boundary value problem with mixed integral and multi-point boundary conditions ⋮ UNIQUE EXISTENCE RESULTS AND NUMERICAL SOLUTIONS FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

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