Geodesic
On the question of the theorem of Bohl --- Perron of hybrid linear functional differential systems with aftereffect (HLFDSA)
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 1, pp. 75-81

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The abstract hybrid system of functional differential equations is given. One part of the equation for variable functional differential, according to another of the variables is the difference one, the second part of the equation for variable differential, according to another of the variables is functional differential one. There is a system of two equations with two unknowns. Apply W-method N.V. Azbelev’s to two equations. Two model equations were studied: one is a system of functional differential equations, and the second is a system of differential equations. We studied the solutions spaces. Received Bohl – Perron theorem's for the exponential stability of the hybrid system of functional differential equations.
Keywords: theorem of Bohl – Perron, hybrid linear system of functional differential equations, stability, model equations' method. 
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     author = {P. M. Simonov},
     title = {On the question of the theorem of {Bohl} --- {Perron} of hybrid linear functional differential systems with aftereffect {(HLFDSA)}},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {75--81},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2016_18_1_a8/}
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P. M. Simonov. On the question of the theorem of Bohl --- Perron of hybrid linear functional differential systems with aftereffect (HLFDSA). Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 1, pp. 75-81. http://geodesic.mathdoc.fr/item/SVMO_2016_18_1_a8/