Document Type : Regular Paper
1Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China 2Department of Computer Science and Technology, Dezhou University, Dezhou 253023, P. R. China
Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China
We investigate a class of fourth-order differential operators with eigenparameter dependent boundary conditions and transmission conditions. 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. Finally, we obtain the representation of its Green function.