@article { author = {Yang, Q. X and Wang, W. Y.}, title = {A class of fourth order differential operators with transmission conditions}, journal = {Iranian Journal of Science}, volume = {35}, number = {4}, pages = {323-332}, year = {2011}, publisher = {Springer}, issn = {2731-8095}, eissn = {2731-8109}, doi = {10.22099/ijsts.2011.2158}, abstract = {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.}, keywords = {Differential operator,eigenvalues,eigenfunctions,Green function,completeness}, url = {https://ijsts.shirazu.ac.ir/article_2158.html}, eprint = {https://ijsts.shirazu.ac.ir/article_2158_424501ad4b2de2356056969b1ec44293.pdf} }