Geodesic
The test-equation method in investigation of stability of functional differential equations
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 90-91 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method is proposed for investigation of stability of solutions to linear scalar functional differential equations. A test equation is put into correspondence to a family of equations of a class being investigated. The study of properties of the test equation makes it possible to obtain an effective description of the stability regions of all equations of the family.
Keywords: differential equation with aftereffect, exponential stability, uniform stability. 
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V. V. Malygina. The test-equation method in investigation of stability of functional differential equations. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 90-91. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a41/

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