TY - JOUR A2 - Eloe, Paul W. AU - Bo, Fang-zhen AU - Ao, Ji-jun PY - 2014 DA - 2014/06/24 TI - The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions SP - 175489 VL - 2014 AB - A class of fourth-order boundary value problems with transmission conditions are investigated. By constructing we prove that these class of fourth order problems consist of finite number of eigenvalues. Further, we show that the number of eigenvalues depend on the order of the equation, partition ofthe domain interval, and the boundary conditions (including the transmission conditions) given. SN - 1085-3375 UR - https://doi.org/10.1155/2014/175489 DO - 10.1155/2014/175489 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -