On stability and oscillation of equations with a distributed delay which can be reduced to difference equations

For the equation with a distributed delay $$ x'(t) + ax(t)+ int_0^1 x(s+[t-1])d R(s)=0 $$ we obtain necessary and sufficient conditions of stability, exponential stability and oscillation. These results are applied to some particular cases, such as integro-differential equations and equa...

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Bibliographic Details
Main Authors: Sergey Zhukovskiy, Elena Braverman
Format: Article
Language:English
Published: Texas State University 2008-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/112/abstr.html