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信阳师范学院学报（自然科学版） 신양사범학원학보（자연과학판）
JOURNAL OF XINYANG NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2014年 4期 490-492,504 ,共4页

郑鹏社%李顺初%冷礼辉%桂东东鄭鵬社%李順初%冷禮輝%桂東東

정붕사%리순초%랭례휘%계동동

非线性复合变型Bessel方程组%边值问题%相似结构%相似核函数%相似构造法非線性複閤變型Bessel方程組%邊值問題%相似結構%相似覈函數%相似構造法
비선성복합변형Bessel방정조%변치문제%상사결구%상사핵함수%상사구조법
nonlinear composite modified Bessel equations%boundary value problem%similar structure%similar kernel function%similar construction method

针对一类非线性复合变型Bessel方程组的边值问题的解进行了深入的分析和研究，得到了方程组在三种外边界条件下（无穷大、定解、封闭）解式的相似结构和相似核函数，并通过对相似结构进一步地归纳提出了一种求解该类边值问题的新方法---相似构造法。
침대일류비선성복합변형Bessel방정조적변치문제적해진행료심입적분석화연구，득도료방정조재삼충외변계조건하（무궁대、정해、봉폐）해식적상사결구화상사핵함수，병통과대상사결구진일보지귀납제출료일충구해해류변치문제적신방법---상사구조법。
The in-depth analysis on the solutions of a boundary value problem of a class of second-order nonlinear composite modified Bessel equations was given. The similar structure and the similar kernel function of the solution of the equations were obtained under three kinds of outer boundary conditions ( infinity, definite, closed) . Furthermore, the similar construction method of the solution of the equations was put foreword.