摘要
讨论了一类具有三个转向点的大参数奇摄动方程.利用Liouville-Green变换和Airy函数,分别得到了方程的外部解和内层解;用匹配法给出了方程解在七个不同区域上的渐近表达式中七对常数所满足的六个匹配条件;并说明了对具有多个转向点的此类方程可作相应推广.
Firstly,a class of large parameter singularly perturbed equations with three turning points is discussed.Using Liouville-Green transformation and Airy functions,the outer solution and the interior solution of the equation are obtained;using matching method,six matched conditions satisfied by seven pairs of constant among asymptotic expressions of the solution of the equation in seven different regions are given.Secondly,it is illustrated that for this class of equations with multi turning points the corresponding result can be generalized.
出处
《应用数学学报》
CSCD
北大核心
2014年第4期687-695,共9页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(11071205)
浙江省自然科学基金(LY13A010005,Y6110502)资助项目
