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...
Main Authors: | , |
---|---|
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 |