On a System of Functional Equations
Publications de l'Institut Mathématique, (N.S.) 43 (1988) no. 57.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We consider the system of functional equations (3), written in the matrix form (4). The general solution of this system is obtained provided that there exist $\lambda,\mu\in C$ such that $\lambda A+\mu B$ is nonsingular. The solutions are expressed by means of generalized inverses of matrices. 
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     author = {Jovan D. Ke\v{c}ki\'c},
     title = {On a {System} of {Functional} {Equations}},
     journal = {Publications de l'Institut Math\'ematique},
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Jovan D. Kečkić. On a System of Functional Equations. Publications de l'Institut Mathématique, (N.S.) 43 (1988) no. 57. https://geodesic-test.mathdoc.fr/item/PIM_1988_N_S_43_57_a10/