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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     author = {A. G. Eliseev},
     title = {Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit {operator.~III}},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1985_25_3_a3/}
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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/