Eigenfunctions and asymptotic behavior of Eigenvalues to the given boundary value problem with Eigenparameter in the boundary conditions Aryan Ali Mohammed E-mail: aryanmath76@yahoo.com, aryan.mohammed@univsul.edu.iq Article info
Key Words:Eigenparameters, eigenfunctions, boundary conditions, asymptotic behavior. Abstractequations of the form ()() + () = (), ∈ [, ]for ≠ 0, where m(y) = −()()() − ⋯ − ()(), and (), … , () are continuous functions of in the interval [, ] , 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. |