Eigenfunctions and asymptotic behavior of Eigenvalues to the given boundary value problem with Eigenparameter in the boundary conditions

Volume 18 , Issue 1 , March 2016 , Pages 179-190

Authors

¹ Department of Mathematics, School of Science, Faculty of Science and Science Education, University of Sulaimani, Sulaimanyah, Iraq.

In this work, we derived the general solution for nth order linear ordinary differential

equations of the form for and are continuous functions of via the method of variation of

parameters. Likewise we found the eigenfunctions for the given second boundary value

problem [1]-[3] as well as the boundedness of eigenfunctions, and the sign of real part of

the eigenvalues have been specified through the sign of one parameter in the boundary

conditions. Finally, the asymptotic behavior of eigenvalues to the given problem was

studied.

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