We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.
M. Denche. A. Memou. "Boundary value problem with integral conditions for a linear third-order equation." J. Appl. Math. 2003 (11) 553 - 567, 2 December 2003. https://doi.org/10.1155/S1110757X03303031