摘要
针对一般情形的本征方程X″(x)-2bX′(x)+λX(x)=0结合第一、二、三类齐次边界条件的统一形式,给出有关本征值问题的统一结果,从而可直接利用分离变量法求解2U/t2=a22U/x2+a1u/x+a2t/u+a3u型等含有ux项的泛定方程的定解问题.
for eigenvalue equation, x″（z）-2bx′（z）＋λX（x）=0, with the first,second or third class homogeneous boundary condition, a general conclusion about eigenvalue problem isdrawn out. The equation such as a2U/at2=a2a2u/ax2＋a1au/ax＋a2au/at＋a3u can be solved directly withvariable-separating method.
出处
《高等数学研究》
2010年第4期45-47,共3页
Studies in College Mathematics
