Stability of delay differential equations with oscillating coefficients
We study the solutions to the delay differential equation equation $$ dot x(t)=-a(t)x(t-h), $$ where the coefficient $a(t)$ is not necessarily positive. It is proved that this equation is exponentially stable provided that $a(t)=b+c(t)$ for some positive constant b less than $pi/(2h)$, and th...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/99/abstr.html |