Boundary-value problem with nonlocal integral condition for mixed-type equations with degeneracy on the transition line

被引：0
|
作者：
Yu. K. Sabitova
机构：
[1] Sterlitamak Division,
[2] Bashkir State University,undefined
[3] Institute for Applied Studies,undefined
来源：
Mathematical Notes | 2015年 / 98卷
关键词：
elliptic-hyperbolic type equation; boundary-value problem; Samarskii–Ionkin condition; spectral analysis; Bessel’s equation; Weierstrass criterion;
D O I：
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中图分类号：
学科分类号：
摘要：
For an elliptic-hyperbolic type equation, the boundary-value problem with nonlocal Samarskii–Ionkin condition in a rectangular domain is solved. Using the spectral analysis method, a uniqueness criterion is established and the existence theorem for the solution of the problem is proved. The solution of the problem is constructed as the sum of a biorthogonal series.
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页码：454 / 465
页数：11
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