Pham Thi Bach Ngoc

Abstract
In this paper we consider a first mixed boundary value problem (FMBVP) (cf. [3])  with generalized right invertible operator V for the operator Q[V]as follows. 

Find all solutions of the problem

Q[V]x  :=V^mA_mnVⁿx = y,    y X
F_jV^jx  = y_j,   y_jker V  are given,   j = 0, ..., M+N-1,

where M, N , A_mn   L₀(X),  A_MN = I , A_mnX_M+N-n X_m , X_j: = dom V^j.