- Turkish Journal of Science
- Vol: 5 Issue: 2
- The Multiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Insid...
The Multiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Inside A Finite Interval
Authors : Abdullah ERGÜN
Pages : 73-84
View : 8 | Download : 2
Publication Date : 2020-10-31
Article Type : Research
Abstract :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.Keywords : Diffrential equations, , Vectorial Diffusion operator