Geodesic
Stability and convexity: from integro-differential to difference equations
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 32-33

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It is shown that the convexity of the sequence of coeffcients with some conditions makes for the stability of difference equations and differential equations with delay. 
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     title = {Stability and convexity: from integro-differential to difference equations},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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V. M. Gilyazev; M. M. Kipnis. Stability and convexity: from integro-differential to difference equations. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 32-33. http://geodesic.mathdoc.fr/item/VUU_2008_2_a11/