【摘要】 利用锥理论与迭代方法,研究了算子方程Lx=Nx解的存在与惟一性,其中L为一线性算子,N为一非线性算子.作为应用,我们讨论了一个弯曲弹性梁方程非负解的存在与惟一性.更多还原

【Abstract】 In this paper,the cone theory and the iteration method are applied to deal with the existence and uniqueness of solution of the nonlinear operator equation Lx=Nx,where L is a linear operator and N a nonlinear operator. As applications,we investigate the existence and uniqueness of nonnegative solution of a bending of and elastic beam equation.更多还原