On the question of the theorem of Bohl --- Perron of hybrid linear functional differential systems with aftereffect (HLFDSA)
P. M. Simonov1
| Annotation | 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. |
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| Keywords | theorem of Bohl -- Perron, hybrid linear system of functional differential equations, stability, model equations' method |
1Professor of the Department of Information Systems and Mathematical Methods in Economics, Perm State National Research University, Perm; simpm@mail.ru
Citation: P. M. Simonov, "[On the question of the theorem of Bohl --- Perron of hybrid linear functional differential systems with aftereffect (HLFDSA)]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:1 (2016) 75–81 (In Russian)
