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.

引用

页数：4

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