continuous functional meaning in English
连续泛函
Examples
- Throughout the following of this section , e denotes a real banach space and p is a cone in e . in chapter , a new three - solution theorem is obtained . moreover , the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases , namely they are united . so they are improved . the main results can be stated as the following : let d be a nonempty bounded close convex subset in e , and nonnegative continuous functional on d . and is concave while is convex . suppose 0 < d and denote
首先我们约定，在下文中， e是实banach空间， p是e中的锥。在第一章中，我们利用锥理论与不动点指数理论统一了著名的amann三解定理与leggett - williams三解定理。主要结论是：设d是e中的非空有界闭凸集， ，是d上的非负连续泛函，且是凹泛函，是凸泛函。