Article

On a $$\boldsymbol{q}$$-Dirichlet–Neumann Problem with Discontinuity Conditions

Döne KarahanHarran University, Science and Letter Faculty, Mathematics Department, 63300, Şanlıurfa, TürkiyeKh. R. MamedovIgdir University, Science and Letter Faculty, Mathematics Department, Bülent Yurtseven and Karaag̈aç Campus, 76000, Igdir, TürkiyeT. K. YuldashevTashkent State University of Economics, 100066, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2022en

ABI

Abstract

In this paper, a $$q$$ -Dirichlet–Neumann problem with discontinuity conditions on a finite interval is studied. It is proved that the $$q$$ -Dirichlet–Neumann problem with discontinuity conditions is self-adjoint in $$L_{q}^{2}(0,\pi)$$ . Finally, it is shown that eigenfunctions of this problem are in the form of a complete system.

Topics

Spectral Theory in Mathematical Physics Mathematical Approximation and Integration Quasicrystal Structures and Properties

Identifiers

DOI: 10.1134/s1995080222140189

Citations and references

Cited by 4 16 references

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