On one problem for a fourth-order mixed-type equation that degenerates inside and on the boundary of a domain

In the article, a nonlocal boundary value problem has been investigated for fourth-order mixed-type equation degenerating inside and on of domain. Applying method separation variables to under study, spectral an ordinary differential is obtained. The Green function last constructed, with help which it equivalently reduced Fredholm integral second kind symmetric kernel, implies existence eigenvalues system eigenfunctions problem. theorem expansion given into uniformly convergent series respect proved. Using found Mercer's theorem, uniform convergence some bilinear depending order Fourier coefficients established. solution study written as sum An estimate problem's obtained, from its continuous dependence functions follows.