THE REGULARIZED TRACE FORMULA OF A SECOND ORDER DIFFERENTIAL EQUATION GIVEN WITH ANTI-PERIODIC BOUNDARY CONDITIONS


Kızılbudak Çalışkan S. , Özen L.

Cumhuriyet Science Journal, cilt.40, ss.784-791, 2019 (Hakemli Üniversite Dergisi)

  • Cilt numarası: 40 Konu: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.17776/csj.480810
  • Dergi Adı: Cumhuriyet Science Journal
  • Sayfa Sayısı: ss.784-791

Özet


In this study, we examined the formula of the regularized trace of the self-adjoint operator which is formed by

l(y)= -y''+p(x)y

differential expression and 

y(0)+y(pi)=0

y'(0)+y'(pi)=0

anti-periodic boundary conditions.