Green’s function of a boundary value problem for a second-order differential equation with involution

A boundary value problem for a second-order differential equation with involution in the second derivative is considered. The existence of linearly independent solutions of the studied equation is established. The definition of the Green’s function is given. The existence of eigenvalue problems for eigenvalue problems is proved. The Green’s function is constructed in the case of a Dirichlet-type problem.

Перевод пока недоступен