Geodesic
On analytic perturbations of linear equations in the case of incomplete generalized Jordan set
Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 80-94

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Based on the methods of the theory of bifurcations, the problem of perturbation of linear equations by small analytic terms is considered. In contrast to the work of Trenogin [7], the case of an incomplete generalized Jordan set of a linear Fredholm operator acting from one Banach space to another Banach space is studied. A technique is proposed that uses the regularization of the Fredholm operator by a specially constructed finite-dimensional operator. 
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     author = {D. G. Rakhimov and D. Akhmadzhanova},
     title = {On analytic perturbations of linear equations in the case of incomplete generalized {Jordan} set},
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D. G. Rakhimov; D. Akhmadzhanova. On analytic perturbations of linear equations in the case of incomplete generalized Jordan set. Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 80-94. http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a6/