INTEGRAL REPRESENTATIONS FOR A SOLUTIONS FOR THE DIFFUSION DIFFERENTIAL EQUATION
Proceedings of the Institute of Mathematics and Mechanics, cilt.40, ss.49-77, 2014 (ESCI, Scopus)
- 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.