Boundary-Value Problem for a Degenerate High-Odd-Order Equation

被引：0
|
作者：
Yu. P. Apakov
B. Yu. Irgashev
机构：
[1] Namangan Engineering–Pedagogical Institute,
来源：
Ukrainian Mathematical Journal | 2015年 / 66卷
关键词：
Integral Equation; Eigenvalue Problem; Green Function; Fundamental Solution; Multiple Characteristic;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a boundary-value problem for a degenerate high-odd-order equation. The uniqueness of the solution is shown by the method of energy integrals. The solution is constructed by the method of separation of variables. In this case, we get the eigenvalue problem for a degenerate even-order ordinary differential equation. The existence of eigenvalues is proved by means of reduction to the integral equation.
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页码：1475 / 1490
页数：15
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