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

Faydaoglu Ş.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648 identifier identifier

  • 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.