数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (4): 381-391.
夏宁茂
Xia Ningmao
摘要： This paper considers an eigenvalue problem containing small stochastic processes. For every fixed n, we can use the Prüfer substitution to prove the existence of the random solutions λn, and un in the meaning of large probability. These solutions can be expanded in ε regularly, and their correction terms can be obtained by solving some random linear differential equations.