Inferring the Eigenvalues and Eigenfunctions Asymptotically for the Eighth Order Boundary Value Problems
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Abstract
In the present paper, we consider an eigenvalue problem generated by eight- order differential equations with suitable boundary conditions, that containing a spectral parameter. New accurate asymptotic expressions for the 8th linearly independent solutions are computed. Then, new asymptotic formulas for the eigenvalues and eigenfunctions of this boundary value problem are obtained
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