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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 6 > No. 1


Estimations of the Upper Bound for the Eigen-Functions of the Fourth Order Boundary Value Problem with Smooth Coefficients

PP: 67-74
Karwan H. F. Jwamer, Rando R. Q. Rasul,
In this paper we consider a fourth-order boundary value problem with smooth coefficients. We found new expansions of linearly independent solutions that satisfy an initial condition. Then, by using these linearly independent solutions we found expressions for the eigenfunctions, and we also found an upper bound for the eigenfunctions and their derivatives.

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