jzs-10737

Asymptotic Estimation of the Eigenvalues and Eigenfunctions for the Sixth Order Boundary Value Problems

 Karwan H. F. Jwamer1,  & Khelan. H. Qadr1

1Department of Mathematics, College of Science, University of Sulaimani, Kurdistan Region, Iraq

Original: 13 May 2018, Revised: 1 August 2018, Accepted: 12 September 2018, Published online: 20 December 2018

DOI Link: https://doi.org/10.17656/jzs.10737

Abstract

This paper addresses an eigenvalue problem generated by sixth order differential equations with suitable boundary conditions, which contain a spectral parameter. The asymptotic expressions for sixth order linearly independent solutions as well as new asymptotic formulas for the eigenvalues with eigenfunctions of the boundary value problem are obtained.

Key Words: Eigenvalue problem, eigenfunction, spectral parameter, asymptotic formula

References

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[4] K. H. Jwamer, R.Q.Rasul, "Estimations of the Upper Bound for the Eigen-Functions of the Fourth Order  Boundary Value Problem with Smooth Coefficients", Math. Sci. Lett. Vol. 6, No. 1, pp. 67-74. (2017)

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