Geodesic
Right-sided invertibility of binomial functional operators and graded dichotomy
Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 208-236.

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In this paper, we consider the right-sided invertibility problem for binomial functional operators. It is known that such operators are invertible iff there exists dichotomy of solutions of the homogeneous equation. New property of solutions of the homogeneous equation named graded dichotomy is introduced and it is proved that right-sided invertibility of binomial functional operators is equivalent to existence of graded dichotomy. 
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A. B. Antonevich. Right-sided invertibility of binomial functional operators and graded dichotomy. Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 208-236. http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a1/

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