非线性弹性梁方程的一个孪生正解的存在定理(英文)

An Existence Theorem of Twin Positive Solutions to a Nonlinear Elastic Beam Equation

对于非线性四阶两点边值问题建立了一个孪生正解的存在定理.该边值问题通常描述了具有固定两端点的弹性梁的形变.

An existence theorem of twin positive solutions is established for a nonlinear fourth-order two-point boundary value problem. The boundary value problem usually describes the deformation of elastic beam with both fixed end-points.