We consider a boundary value problem for the beam equation, in which the boundary
conditions mean that the beam is embedded at one end and free at the other end. Some …

The positive solution is studied for a nonlinear fourth-order two-point boundary value
problem. In mechanics, the problem is called cantilever beam equation. By making use of …

The purpose of this paper is to establish several local existence theorems concerned with n
positive solutions for a fourth-order two-point boundary value problem, where n is an …

Under conditions weaker than those used by Ma, we establish various results on the
existence and nonexistence of symmetric positive solutions to fourth-order boundary value …

We consider a boundary-value problem for the beam equation, in which the boundary
conditions mean that the beam is embedded at one end and fastened with a sliding clamp at …

The authors consider a fourth order two-point boundary value problem. Some a priori
estimates to positive solutions for the problem are obtained. Explicit sufficient conditions for …

POSITIVE SOLUTIONS OF A NONLINEAR FOURTH ORDER BOUNDARY VALUE PROBLEM
1. Introduction In this paper, we consider the fourth orde Page 1 POSITIVE SOLUTIONS OF A …

EXISTENCE AND UNIQUENESS THEOREMS FOR SOME FOURTH-ORDER NONLINEAR
BOUNDARY VALUE PROBLEMS Page 1 Internat. J. Math. & Math. Sci. Vol. 23, No. 11 (2000) …

In this paper, we study the solvability of various two-point boundary value problems for x (4)=
f (t, x, x′, x ″, x‴), t∈(0, 1), where f may be defined and continuous on a suitable bounded …

考察了1 类非线性悬臂梁方程, 在力学上, 这类方程描述了1 端固定, 另1 端自由的弹性梁的形变,
本文中方程的特点是非线性项含有未知函数的三阶导数. 通过使用方程的分解技巧和Leray …