On Spectral Properties of a Fourth-order Boundary Value Problem with Impulse

被引：2
|
作者：
Faydaoglu, Serife [1 ]
机构：
[1] Dokuz Eylul Univ, Buca Fac Educ, Dept Math, TR-35150 Izmir, Turkey
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷
关键词：
Fourth-order boundary value problem; Transmission conditions; Eigenvalues; eigenfunctions;
D O I：
10.1063/1.4912522
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a fourth-order boundary value problem with impulse. We apply the Fourier method for solving of this problem arising in finding of transverse vibration of a string. We calculate the eigenvalues and eigenfunctions of the fourth-order boundary value problem for some ordinary differential equation with piecewise constant coefficient. We obtain a solution of the considered equation subject to initial data, boundary and transmission conditions at the point of discontinuity.
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页数：4
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