On the First Mixed Boundary Value Problems for Linear Equations
with Generalized Right Invertible Operators
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 := VmAmnVnx
= y, y X
FjVjx = yj, yj ker
V are given, j = 0, ..., M+N-1,
where M, N  ,
Amn
L0(X), AMN = I , AmnXM+N-n
Xm , Xj: = dom Vj.
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