ABSTRACT
The first aim of this chapter is to give some existence results for a struc-
tured problem on Lp-space (1 ≤ p <∞) under abstract boundary conditions of Rotenberg’s model type. Next, several coupled systems of nonlinear func-
tional integral equations with bounded or unbounded domains in Banach al-
gebras are considered. Finally, some existence results for coupled systems of
perturbed functional differential inclusions of initial and boundary value prob-
lems are studied. We should mention that all the involved operator equations
are generated by block matrices with the dimensions 2 × 2. Also considered are both single-valued and multi-valued operators acting in Banach algebras
satisfying the so-called condition (P).