On a boundary value problem with spectral parameter quadratically contained in the boundary condition

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Mammedzadeh G. S.

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.42, no.1, pp.141-150, 2022 (Scopus)

• Nəşrin Növü: Article / Article
• Cild: 42 Say: 1
• Nəşr tarixi: 2022
• jurnalın adı: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
• Jurnalın baxıldığı indekslər: Scopus
• Səhifə sayı: pp.141-150
• Açar sözlər: asymptotics, diffusion equation, eigenvalues, nonseparated boundary conditions
• Adres: Bəli

Qısa məlumat

A boundary value problem generated on an interval by a diffusion equation with real coefficients and nonseparated boundary conditions is considered. One of these boundary conditions includes the quadratic function of the spectral parameter. Some spectral properties of the boundary value problem are studied. It is proved that the eigenvalues are real and nonzero and that there are no associated functions to the eigenfunctions, and an asymptotic formula for the spectrum of the problem is derived.