Solution of mixed B.V.P including a first order three dimensional P.D.E with nonlocal and global boundary conditions

In this paper solution of mixed complex boundary value problem of first order is considered. The basic term in the problem with respect to space variables, has Cauchy-Riemann operator. We first use Laplace transformation to introduce spectral problem. Then we in vestigate corresponding for Fredholm’s type. The spectral problem here is different from classical boundary value problems. Here boundary conditions are nonlocal and global and dependent functionals to boundary conditions are in general linear. At the end for the solution of spectral problem which depends on unknown complex parameter, we find asymptotic expansion. With the help of this asymptotic expansion we prove existence and uniqueness of mixed problem.