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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Authors

  • Department of Mathematics, Associate Professor in Mathematics (Retd.), Vivekananda College, Kolkata 700063 ,IN

DOI:

https://doi.org/10.18311/jims/2023/26380

Keywords:

Asymptotic Solutions, Turning Points, Dirichlet Boundary Conditions, Normalized Eigenvector.
ordinary differential equation

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.

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Published

2023-03-24

How to Cite

Sengupta, D. (2023). 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. The Journal of the Indian Mathematical Society, 90(1-2), 13–22. https://doi.org/10.18311/jims/2023/26380
Received 2020-11-12
Accepted 2021-11-14
Published 2023-03-24

 

References

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