The Journal of the Indian Mathematical Society

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The Asymptotic Laws of the Distribution of Eigenvalues for a System of Second Order Differential Equations having Turning Points at Both Ends of the Interval


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1 Department of Mathematics, Associate Professor in Mathematics (Retd.) Vivekananda College, Kolkata 700063, India
     

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The paper deals with the asymptotic expressions for the solutions along with their first derivatives, the distribution of the eigenvalues and the normalized eigenvector for large eigenvalues corresponding to a system of second order differential equations having turning points at both ends of the interval, under certain suitable boundary conditions.

Keywords

Asymptotic Solutions, Turning Points, Dirichlet Boundary Conditions, Normalized Eigenvector.
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  • The Asymptotic Laws of the Distribution of Eigenvalues for a System of Second Order Differential Equations having Turning Points at Both Ends of the Interval

Abstract Views: 127  |  PDF Views: 1

Authors

Debasish Sengupta
Department of Mathematics, Associate Professor in Mathematics (Retd.) Vivekananda College, Kolkata 700063, India

Abstract


The paper deals with the asymptotic expressions for the solutions along with their first derivatives, the distribution of the eigenvalues and the normalized eigenvector for large eigenvalues corresponding to a system of second order differential equations having turning points at both ends of the interval, under certain suitable boundary conditions.

Keywords


Asymptotic Solutions, Turning Points, Dirichlet Boundary Conditions, Normalized Eigenvector.

References