Geodesic
Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit operator.~III
Izvestiya. Mathematics , Tome 25 (1985) no. 3, pp. 475-500.

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This paper is the third part of work dealing with the construction of a regularized asymptotic expression for the solution of a nonhomogeneous Cauchy problem in a finite-dimensional space $E$. The limit operator has a Jordan structure. On the lines of the theory of branching a method is given for describing all possible singularities of the problem in the case when the structure matrix has degeneracies. As an example, a complete analysis of a Cauchy problem is given in three-dimensional space, along with a certain case in four-dimensional space. Bibliography: 4 titles. 
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A. G. Eliseev. Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit operator.~III. Izvestiya. Mathematics , Tome 25 (1985) no. 3, pp. 475-500. http://geodesic.mathdoc.fr/item/IM2_1985_25_3_a3/

[1] Eliseev A. G., “Teoriya singulyarnykh vozmuschenii dlya sistem differentsialnykh uravnenii v sluchae kratnogo spektra predelnogo operatora, I, II”, Izv. AN SSSR. Ser. matem., 48:5 (1984), 999–1041 | MR

[2] Lomov S. A., Vvedenie v obschuyu teoriyu singulyarnykh vozmuschenii, Nauka, M., 1981 | MR | Zbl

[3] Shkil N. I., Asimptotichni metodi v differentsialnykh rivnyannyakh, Vischa shkola, Kiiv, 1971

[4] Vainberg M. M., Trenogii V. A., Teoriya vetvleniya reshenii nelineinykh uravnenii, Nauka, M., 1969 | MR