Geodesic
On the asymptotic behavior of solutions to a class of differential-difference equations
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 41-42 Cet article a éte moissonné depuis la source Math-Net.Ru

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The forced delay differential equation $$\dot x(t)=a(t)x(t-\omega),\ t\in\mathbb{R}_{+}$$ with complex coefficient $a(t)$ satisfying the condition $a(t+\omega)=Ma(t)$, $M\in\mathbb{C}$, is being considered. Effective sufficient conditions for asymptotic behaviour of solutions were obtained, in particular, the conditions for solutions' boundedness, convergence to some constant value and unboundedness. 
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     author = {M. I. Dodkin},
     title = {On the asymptotic behavior of solutions to a class of differential-difference equations},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {41--42},
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M. I. Dodkin. On the asymptotic behavior of solutions to a class of differential-difference equations. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 41-42. http://geodesic.mathdoc.fr/item/IIMI_2002_2_a9/

[1] Rekhlitskii Z. I., “Ob ustoichivosti reshenii nekotorykh lineinykh differentsialnykh uravnenii v banakhovom prostranstve”, DAN SSSR, 111:1 (1956), 29–32

[2] Rekhlitskii Z. I., “Ob ustoichivosti reshenii periodicheskikh differentsialno-raznostnykh uravnenii”, Izv. AN SSSR, 30:5 (1966), 971–974