NEW RESULTS OF SOME EXISTENCE THEOREMS ON NONLINEAR BOUNDARY VALUE PROBLEMS  

作　　者：吴广荣 黄文华 沈祖和 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1999年第1期110-114,共5页应用数学和力学（英文版）

摘　　要：With the we of the homeomorphism theory and fixed point theory, the existence and uniqueness of solutions to boundary value problems are investigated. Two basic theorems are obtained without the boundness condition, which generalizes results of Brown. When our results are applied to the existence and uniqueness of periodic solutions for nonlinear perturbed conservative systems (Newtonian equations of motion), the existence and uniqueness of the solution are obtained. The results in this note seem less restrictive than those of the former papers we have seen. Meanwhile, as far as we know, it seems that applying the homeomorphism theory to the research of this kind of problem is new.With the we of the homeomorphism theory and fixed point theory, the existence and uniqueness of solutions to boundary value problems are investigated. Two basic theorems are obtained without the boundness condition, which generalizes results of Brown. When our results are applied to the existence and uniqueness of periodic solutions for nonlinear perturbed conservative systems (Newtonian equations of motion), the existence and uniqueness of the solution are obtained. The results in this note seem less restrictive than those of the former papers we have seen. Meanwhile, as far as we know, it seems that applying the homeomorphism theory to the research of this kind of problem is new.

关 键 词：HOMEOMORPHISM existence and uniqueness global inverse theorem 

分 类 号：O175[理学—数学]