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The Asymptotic Estimations of the Eigen-values and Eigen-functions for the Fourth Order Boundary Value Problem with Smooth Coefficients |
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PP: 121-129 |
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doi:10.18576/msl/060203
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Author(s) |
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Karwan H. F. Jwamer,
Rando R. Q. Rasul,
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Abstract |
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| In this paper, we have an Eigen-value problem generated by a fourth order differential equation and suitable boundary conditions which contain a spectral parameter. We obtain asymptotic expressions for the fourth linearly independent solutions, and we also found new asymptotic formulas for the Eigen-values and Eigen-functions of this boundary value problem. |
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