The multiplicity of solutions for fourth-order equations generated from a boundary condition
From MaRDI portal
Publication:548419
DOI10.1016/j.aml.2011.04.008zbMath1223.34026OpenAlexW1996164249MaRDI QIDQ548419
Haibo Chen, Xiaoxia Yang, Liu Yang
Publication date: 28 June 2011
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2011.04.008
Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
Related Items (26)
Infinitely many solutions for impulsive nonlocal elastic beam equations ⋮ Existence of Positive Solutions for a Pertubed Fourth-Order Equation ⋮ Infinitely many homoclinic solutions for a nonperiodic fourth-order differential equation without (AR)-condition ⋮ Positive solutions of singular beam equations with the bending term ⋮ New existence and uniqueness results for an elastic beam equation with nonlinear boundary conditions ⋮ New existence theory of positive solutions to fourth order \(p\)-Laplacian elasticity problems ⋮ 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 ⋮ A unified variational approach to discontinuous differential equations ⋮ A note on nonlinear fourth-order elliptic equations on \(\mathbb R ^N\) ⋮ On the solvability of a parameter-dependent cantilever-type BVP ⋮ Variational approach for an elastic beam equation with local nonlinearities ⋮ On the multiplicity of solutions of a discrete Robin problem with variable exponents ⋮ Unnamed Item ⋮ Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device ⋮ The solvability and numerical simulation for the elastic beam problems with nonlinear boundary conditions ⋮ A nonlinear boundary value problem for fourth-order elastic beam equations ⋮ Monotone iterative technique for a class of slanted cantilever beam equations ⋮ Infinitely many solutions for a fourth-order differential equation on a nonlinear elastic foundation ⋮ Variational approaches to impulsive elastic beam equations of Kirchhoff type ⋮ Two homoclinic solutions of a nonperiodic fourth-order impulsive differential equation ⋮ Infinitely many solutions for a class of p-Laplacian equation with Sturm-Liouville type nonhomogeneous boundary conditions ⋮ On the multiplicity of solutions for a kind of fourth-order equation depending on two real parameters ⋮ Unnamed Item ⋮ Existence of multiple solutions to a discrete fourth order periodic boundary value problem via variational method ⋮ The existence of symmetric positive solutions of fourth-order elastic beam equations
Cites Work
- Unnamed Item
- Periodic and homoclinic solutions generated by impulses
- A boundary value problem for fourth-order elastic beam equations
- A further three critical points theorem
- Positive solutions for a beam equation on a nonlinear elastic foundation
- Existence and multiplicity of solutions of a kind of fourth-order boundary value problem
- Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations
This page was built for publication: The multiplicity of solutions for fourth-order equations generated from a boundary condition
