On paradoxes of the formal approach to determining the eigenvalues of one-dimensional boundary value problems

被引：0
|
作者：
V. G. Grigoriev
机构：
[1] Moscow Aviation Institute (State University of Aerospace Technologies),
来源：
Mechanics of Solids | 2008年 / 43卷
关键词：
Characteristic Equation; Formal Approach; Fundamental System; Multiple Root; Nonzero Solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The conventional approach to determining the eigenvalues of a one-dimensional boundary value problem consists in writing out the solution of the differential equation in general form containing indeterminate coefficients and constructing a system of homogeneous linear algebraic equations for these coefficients on the basis of the expressions for the boundary conditions. The eigenvalue is determined from the condition that the determinant of the system thus constructed is zero.
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页码：13 / 17
页数：4
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