An expansion result for a Sturm-Liouville eigenvalue problem with impulse

Faydaoğlu Ş., Guseinov G. S.

TURKISH JOURNAL OF MATHEMATICS, cilt.34, sa.3, ss.355-366, 2010 (SCI-Expanded) identifier identifier

  • 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, DISCONTINUITY CONDITIONS
  • 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.