SOLVABILITY OF MIXED PROBLEMS FOR HEAT EQUATIONS WITH TWO NONLOCAL CONDITIONS

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

MATHEMATICA SLOVACA, vol.72, no.6, pp.1573-1584, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 72 Issue: 6
  • Publication Date: 2022
  • Doi Number: 10.1515/ms-2022-0108
  • Journal Name: MATHEMATICA SLOVACA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1573-1584
  • Keywords: Solvability of boundary value problems, mixed problem heat equation, expansions in eigenfunctions, Riesz basis, homogeneous boundary value problem
  • Erciyes University Affiliated: Yes

Abstract


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.