English

Stability of the Second Order Delay Differential Equations with a Damping Term

Dynamical Systems 2014-06-24 v1

Abstract

For the delay differential equations x¨(t)+a(t)x˙(g(t))+b(t)x(h(t))=0,g(t)t,h(t)t, \ddot{x}(t) +a(t)\dot{x}(g(t))+b(t)x(h(t))=0, g(t)\leq t, h(t)\leq t, and x¨(t)+a(t)x˙(t)+b(t)x(t)+a1(t)x˙(g(t))+b1(t)x(h(t))=0 \ddot{x}(t) +a(t)\dot{x}(t)+b(t)x(t)+a_1(t)\dot{x}(g(t))+b_1(t)x(h(t))=0 explicit exponential stability conditions are obtained.

Keywords

Cite

@article{arxiv.0901.1277,
  title  = {Stability of the Second Order Delay Differential Equations with a Damping Term},
  author = {Leonid Berezansky and Elena Braverman and Alexander Domoshnitsky},
  journal= {arXiv preprint arXiv:0901.1277},
  year   = {2014}
}

Comments

to appear in the journal "Differential Equations and Dynamical Systems"

R2 v1 2026-06-21T11:59:11.193Z