Existence and multiplicity of positive solutions to a singular elastic beam equation rigidly fixed at both ends

DOI10.1016/j.na.2007.08.043zbMath1157.34018OpenAlexW2038709483MaRDI QIDQ949692

Qing-liu Yao

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.043

zbMATH Keywords

existencemultiplicitysingularitypositive solutionboundary value problemnonlinear ordinary differential equation

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (14)

Positive solutions for some beam equation boundary value problems ⋮ Existence of positive solutions for fourth-order semipositone multi-point boundary value problems with a sign-changing nonlinear term ⋮ Monotone positive solutions for an elastic beam equation with nonlinear boundary conditions ⋮ Eigenvalue of coupled systems for Hammerstein integral equation with two parameters ⋮ Triple positive periodic solutions of nonlinear singular second-order boundary value problems ⋮ Positive solutions for elastic beam equations with nonlinear boundary conditions and a parameter ⋮ Eigenvalue problem and unbounded connected branch of positive solutions to a class of singular elastic beam equations ⋮ Existence and iteration of monotone positive solution of BVP for an elastic beam equation ⋮ Solvability of a class of second-order quasilinear boundary value problems ⋮ Positive solutions for fourth-order singular nonlinear differential equation with variable-coefficient ⋮ Positive solutions of singular third-order three-point boundary value problems ⋮ Lyapunov-type inequalities for fourth-order boundary value problems ⋮ Singular positone and semipositone boundary value problems of nonlinear fractional differential equations ⋮ Local existence of multiple positive solutions to a singular cantilever beam equation

Cites Work

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• A system of \((n_i,p_i)\) boundary value problems with positive/nonpositive nonlinearities
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems
• Positive solutions of singular sublinear fourth-order boundary value problems
• Positive solutions for nonlinear elastic beam models

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