具有积分边界条件的二次奇摄动边值问题  

Quadratic Singular Perturbation Problem with Integral Boundary Conditions

作　　者：王丹丹 谢峰[1] WANG Dandan;XIE Feng(College of Science, Donghua University, Shanghai 201620, China)

机构地区：[1]东华大学理学院,上海201620

出　　处：《东华大学学报（自然科学版）》2018年第6期1019-1024,共6页Journal of Donghua University(Natural Science)

基　　金：上海市自然科学基金资助项目(15ZR1400800)

摘　　要：用合成展开法构造出一类具有积分边界条件的二次奇摄动问题的形式渐近解,利用微分不等式理论和上下解定理得到所提问题解的存在性和渐近估计,并给出例子。This paper investigates a class of quadratic singular perturbation differential equations with integral boundary conditions.By the theorem of lower and upper solutions and the composite expansion method,the existence and asymptotic estimates of solution with the boundary layer for the proposed problem are obtained.An example is presented.

关 键 词：二次奇摄动 积分边界条件 上下解 

分 类 号：O175.14[理学—数学]