Conjunction problems for a pseudo-hyperbolic equation of the fourth order with discontinuous coefficients

The relevance of the study is justified by proving the correctness of the conjugation problem for a pseudo-hyperbolic fourth-order equation with discontinuous coefficients. In this work, the methods of Green's function and integral equations are employed to demonstrate the existence and uniqueness of solutions for the first boundary value problem of the pseudo-hyperbolic fourth-order partial differential equation. The obtained results can be applied in the education of students and graduate students in mathematical disciplines.