A nonlinear boundary value problem for fourth-order elastic beam equations

DOI10.1186/s13661-014-0191-6zbMath1325.34026OpenAlexW2104813207WikidataQ59323261 ScholiaQ59323261MaRDI QIDQ481546

Yuanping Song

Publication date: 12 December 2014

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

Full work available at URL: https://doi.org/10.1186/s13661-014-0191-6

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (11)

Existence and concentration of nontrivial solutions for an elastic beam equation with local nonlinearity ⋮ Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator ⋮ Solutions of perturbed Hammerstein integral equations with applications ⋮ Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems ⋮ Existence results for a fourth-order elastic beam equation via the variational approach ⋮ Monotone iterative technique for a class of slanted cantilever beam equations ⋮ Variational approaches to impulsive elastic beam equations of Kirchhoff type ⋮ Asymptotic properties of solutions to fourth order difference equations ⋮ On the multiplicity of solutions for a kind of fourth-order equation depending on two real parameters ⋮ The existence of symmetric positive solutions of fourth-order elastic beam equations ⋮ Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

Cites Work

• Infinitely many solutions for a fourth-order elastic beam equation
• The multiplicity of solutions for fourth-order equations generated from a boundary condition
• Existence and multiplicity of solutions for fourth-order boundary value problems with param\-eters
• A boundary value problem for fourth-order elastic beam equations
• Multiple solutions of some nonlinear fourth-order beam equations
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• Monotone positive solutions for a fourth order equation with nonlinear boundary conditions
• Existence results and numerical solutions for a beam equation with nonlinear boundary conditions.
• Positive solutions for a beam equation on a nonlinear elastic foundation
• A general variational principle and some of its applications
• Infinitely many solutions for a fourth-order differential equation on a nonlinear elastic foundation
• Multiplicity of solutions of a two point boundary value problem for a fourth-order equation
• A cantilever equation with nonlinear boundary conditions

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