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On existence theorems of a functional differential equations in partially ordered Banach algebras (2301.03336v1)
Published 8 Dec 2022 in math.FA
Abstract: In this paper we are concerned with existence results for a coupled system of quadratic functional differential equations. This system is reduced to a fixed point problem for a block operator matrix with nonlinear inputs. To prove the existence we are established some fixed point theorem of Dhage's type for the block matrix operator acting in partially ordered Banach algebras.
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