New Stability Conditions for Linear Differential Equations with Several Delays

Leonid Berezansky; Elena Braverman

New Stability Conditions for Linear Differential Equations with Several Delays

Dynamical Systems 2014-06-24 v1 Classical Analysis and ODEs

Authors: Leonid Berezansky , Elena Braverman

Abstract

New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation $\dot{x}(t)+\sum_{k=1}^m a_k(t)x(h_k(t))=0$ with measurable delays and coefficients. These results are compared to known stability tests.

Keywords

delay differential equations stability analysis stability theory

Cite

@article{arxiv.0806.3234,
  title  = {New Stability Conditions for Linear Differential Equations with Several Delays},
  author = {Leonid Berezansky and Elena Braverman},
  journal= {arXiv preprint arXiv:0806.3234},
  year   = {2014}
}

Comments

19 pages

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