Banach空间非线性弹性梁方程的唯一迭代解

Existence and Uniqueness of the Solutions of Equation of Nonlinear Elastic Beam Equations in Banach Space

利用新的再生锥条件下的不动点定理对Banach空间中一类非线性弹性梁方程做了研究,证明了所述方程解的存在唯一性,并给出了迭代式,最后给出一个例子说明主要结果。

By using a new fixed-point theorem which is on the condition of generating cone,the iterative unique solution and its iterative approximation for a class of equation of nonlinear elastic beam equations in Banach spaces are established,and an example is given to illustrate the main result.