【摘要】 拓扑度理论是解决非线性分析问题的主要方法之一。通过借助增生算子单值紧挠动的广义拓扑度及多值函数的单值选择理论定义了增生算子多值紧挠动的广义拓扑度 ,并讨论了其正规性、可加性、可解性等相关性质。利用这些结果还讨论了一个 Lp 空间中微分方程的可解性问题更多还原

【Abstract】 Topological degree theory is one of the main ways to study nonlinear analytical problems. Having defined the generalized degree of multi valued compact perturbations of strongly m accretive operators by means of the generalized degree of perturbed accretive operators and the theory of selector of multi valued functions, this paper discusses its solvability, regular and additional property as well as some other properties. On the basis of the foregoing results, it also offers discussions on the solvability of a differential equation in Lp spaces.更多还原