New existence and uniqueness results for an elastic beam equation with nonlinear boundary conditions

DOI10.1186/s13661-015-0365-xzbMath1341.34031OpenAlexW2135648448WikidataQ59435039 ScholiaQ59435039MaRDI QIDQ283415

Shunyong Li, Cheng-Bo Zhai

Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0365-x

zbMATH Keywords

existence and uniquenesselastic beam equationfixed point theorem for mixed monotone operatorsmonotone 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) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (9)

Approximating monotone positive solutions of a nonlinear fourth-order boundary value problem via sum operator method ⋮ Local existence and uniqueness of increasing positive solutions for non-singular and singular beam equation with a parameter ⋮ Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions ⋮ Solutions of perturbed Hammerstein integral equations with applications ⋮ Lower and upper solutions method to the fully elastic cantilever beam equation with support ⋮ Existence of positive solutions for the nonlinear elastic beam equation via a mixed monotone operator ⋮ Positive solutions for a singular superlinear fourth-order equation with nonlinear boundary conditions ⋮ 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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