On Spectral Properties of a Fourth-order Boundary Value Problem with Impulse
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1648
- Doi Numarası: 10.1063/1.4912522
- Basıldığı Şehir: Rhodes
- Basıldığı Ülke: Yunanistan
- Anahtar Kelimeler: Fourth-order boundary value problem, Transmission conditions, Eigenvalues, eigenfunctions
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
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.