The Multiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Inside A Finite Interval

Yıl 2020, Cilt: 5 Sayı: 2, 73 - 84, 31.10.2020

Abdullah Ergün

Öz

In this study, diffusion operator with discontinuity function is considered.
Integral equations have been obtained for the solution under certain
initial conditions. Furthermore, we obtained integral representations for
these solutions. Some equations have been obtained by the kernel functions.
By using the characteristic function, asymptotic formulas of eigenvalues
with zeros of the characteristic are obtained.       

In this study, diffusion operator with discontinuity function is considered. Integral equations have been obtained for the solution under certain initial conditions. Furthermore, we obtained integral representations for these solutions. Some equations have been obtained by the kernel functions. By using the characteristic function, asymptotic formulas of eigenvalues with zeros of the characteristic are obtained.     

Anahtar Kelimeler

Diffrential equations, , Vectorial Diffusion operator

Kaynakça

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