SOLVABILITY OF MIXED PROBLEMS FOR HEAT EQUATIONS WITH TWO NONLOCAL CONDITIONS

İlhan O. A., Soybaş D., Kasimov S. G., Rakhmanov F. D.

MATHEMATICA SLOVACA, cilt.72, sa.6, ss.1573-1584, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1515/ms-2022-0108
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1573-1584
  • Anahtar Kelimeler: Solvability of boundary value problems, mixed problem heat equation, expansions in eigenfunctions, Riesz basis, homogeneous boundary value problem
  • Erciyes Üniversitesi Adresli: Evet

Özet


In this study, the solvability of a problem of the heat conduction theory with two nonlocal boundary conditions is investigated. Systems of eigenfunctions of the corresponding operator with two nonlocal boundary conditions are taken into consideration. A theorem on the solvability of the problem of the theory of heat conduction with two nonlocal boundary conditions is given.