Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace
Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 260-268

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V. A. Trenogin's results on the stability of solutions to the Cauchy problem for differential equations in Banach spaces with respect to linear approximation in the case of degenerate linearization are presented from the viewpoint of branching equation in the root subspace.
@article{TRSPY_2012_278_a23,
     author = {V. A. Trenogin and B. V. Loginov and L. R. Kim-Tyan},
     title = {Stability of solutions to the {Cauchy} problem with respect to linear approximation, and branching equation in the root subspace},
     journal = {Informatics and Automation},
     pages = {260--268},
     publisher = {mathdoc},
     volume = {278},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a23/}
}
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V. A. Trenogin; B. V. Loginov; L. R. Kim-Tyan. Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace. Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 260-268. http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a23/