INTEGRAL REPRESENTATIONS FOR A SOLUTIONS FOR THE DIFFUSION DIFFERENTIAL EQUATION

Gülyaz Özyurt S., Amirov R.

Proceedings of the Institute of Mathematics and Mechanics, cilt.40, ss.49-77, 2014 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40
  • Basım Tarihi: 2014
  • Dergi Adı: Proceedings of the Institute of Mathematics and Mechanics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.49-77
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

We construct useful new integral representations for the fundamental solutions of the quadratic pencil of the Sturm-Liouville equation with piecewise-constant leading coefficient and discontinuous conditions inside an interval. We also study some significant properties of the kernels of these integral representations for the solutions.