【摘要】 <正> 本文首先给出ρ(χ)为分段线性函数时,以方程y″+λρ(x)y=0 的特征值为零点的函数ω(λ),从而给出基于分段线性逼近的中介算子法,以求方程(p(x)y′)′+λq(x)y=0之最小特征值的上、下估计值。更多还原

【Abstract】 In this paper the expression of an entire function ω(λ) is obtaind, whose zeros determine the eigenvalues for y″+λρ(x)y=0 with piecewise linear coefficient ρ(x). Then we give an intermediate operator method to calculate the lower and upper estimation of the least eigenvalue for (p(x)y′)′+λq(x)y=0 resorting to piecewise linear approximation.更多还原