The multiplicity of solutions for fourth-order equations generated from a boundary condition

• DOI: 10.1016/j.aml.2011.04.008
• Publication Date: 2011-04-19T12:19:31Z
• Authors: Liu Yang; Haibo Chen; Xiaoxia Yang
• Keywords: Solution generated from a boundary condition; Fourth-order differential systems; Applied Mathematics; 0101 mathematics; 01 natural sciences; Critical point

AbstractIn this work, we investigate a boundary value problem for fourth-order differential systems. By using variational methods and a three-critical-point theorem, we establish sufficient conditions under which such a system possesses two solutions generated from a boundary condition. To illustrate the main results, an example is given.