An expansion result for a Sturm-Liouville eigenvalue problem with impulse
TURKISH JOURNAL OF MATHEMATICS, cilt.34, sa.3, ss.355-366, 2010 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 3
- Basım Tarihi: 2010
- Doi Numarası: 10.3906/mat-0809-34
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.355-366
- Anahtar Kelimeler: Green's function, Completely continuous operator, Impulse conditions, Eigenvalue, Eigenvector
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
The paper is concerned with an eigenvalue problem for second order differential equations with impulse. Such a problem arises when the method of separation of variables applies to the heat conduction equation for two-layered composite. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.