Positive solutions for elastic beam equations with nonlinear boundary conditions and a parameter

DOI10.1186/1687-2770-2014-80zbMath1307.34054OpenAlexW2152170614WikidataQ59323839 ScholiaQ59323839MaRDI QIDQ472951

Junxia Wang, Hui Yang, Wen-Xia Wang, Yan-Ping Zheng

Publication date: 20 November 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-80

zbMATH Keywords

conefixed pointpositive solutionelastic beam equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (10)

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 ⋮ New existence and uniqueness results for an elastic beam equation with nonlinear boundary conditions ⋮ Existence and concentration of nontrivial solutions for an elastic beam equation with local nonlinearity ⋮ 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 ⋮ Variational approach for an elastic beam equation with local nonlinearities ⋮ Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis ⋮ UNIQUE EXISTENCE RESULTS AND NUMERICAL SOLUTIONS FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS ⋮ Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

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