非单调算子方程解的存在唯一性

The Existence Uniqueness of the Solution to the Non-monotone Operator Equation

目的 对非单调算子方程的存在唯一性进行探讨 .方法利用线性算子的谱半径 ,给出了算子方程的存在唯一解 .结果 将所获结论应用到非线性 Fredholm型积分方程上 ,得到了该积分方程解的存在唯一性 .

Aim\ The existence uniqueness of the solution of the non monotone operator equation is to be discussed. Methods\ The existence uniqueness of the solution to the operator equation has been given with the spectral radius of the linear operator. Results\ Obtained results will be applied to the nonlinear fredholm integral equations. The existence uniqueness of the solution to the integral equation will be got. Conclusion\ The relative theories will be improved and generalized.