具有不连续源项的二阶半线性系统边值问题的奇摄动  

Singular Perturbation for Boundary Value Problem of a Second-Order Semi-Linear System with Discontinuous Source Terms

作　　者：李静[1] 谢峰[1] 

机构地区：[1]东华大学理学院,上海

出　　处：《应用数学进展》2019年第8期1341-1351,共11页Advances in Applied Mathematics

摘　　要：本文讨论了一类带有不连续源项的二阶半线性系统边值问题。首先,用边界函数法和缝接法构造出原问题的形式渐近解;然后运用上下解定理证明形式解的一致有效性。最后给出一个例子验证了结果的有效性。In this paper,a singularly perturbed boundary value problem of second-order semi-linear system with discontinuous source terms is discussed.Firstly,we use the boundary function method and sewing method to construct formal asymptotic solution to the original problem.Then,the uniformly validity of the solution obtained is proved by the lower and upper solutions theorem.Finally,an example is given as an illustration.

关 键 词：边界函数法 缝接法 不连续源项 奇摄动 

分 类 号：O1[理学—数学]