Title of article :
On spectral properties of a fourth-order boundary value problem
Author/Authors :
Sen, Erdogan Namık Kemal University - Faculty of Science and Letters - Department of Mathematics, Turkey , Sen, Erdogan Istanbul Technical University - Department of Mathematics Engineering, Turkey
Abstract :
In this work, we study a fourthorder boundary value problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We discuss asymptotic behavior of its eigenvalues and completeness of its eigenfunctions.
Keywords :
Asymptotics of eigenvalues and eigenfunctions , Transmission conditions , Fourth , order differential operator , Spectrum
Journal title :
Ain Shams Engineering Journal
Journal title :
Ain Shams Engineering Journal
