[PDF][PDF] Existence results for a system of nonlinear integral equations in Banach algebras under weak topology
This paper is devoted to the study of a coupled system of nonlinear functional integral
equations in suitable Banach algebras. This system is reduced to a fixed point problem for a
2× 2 block operator matrix with nonlinear inputs. Hence, certain assumptions on its entries
are given under a weak topology setting. These assumptions involve in particular the De
Blasi measure of weak noncompactness in order to ensure the existence of solutions.
equations in suitable Banach algebras. This system is reduced to a fixed point problem for a
2× 2 block operator matrix with nonlinear inputs. Hence, certain assumptions on its entries
are given under a weak topology setting. These assumptions involve in particular the De
Blasi measure of weak noncompactness in order to ensure the existence of solutions.
Abstract
This paper is devoted to the study of a coupled system of nonlinear functional integral equations in suitable Banach algebras. This system is reduced to a fixed point problem for a 2× 2 block operator matrix with nonlinear inputs. Hence, certain assumptions on its entries are given under a weak topology setting. These assumptions involve in particular the De Blasi measure of weak noncompactness in order to ensure the existence of solutions.
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