English

On Nonoscillation of Mixed Advanced-Delay Differential Equations with Positive and Negative Coefficients

Dynamical Systems 2014-06-24 v1

Abstract

For a mixed (advanced--delay) differential equation with variable delays and coefficients x˙(t)±a(t)x(g(t))b(t)x(h(t))=0,tt0 \dot{x}(t) \pm a(t)x(g(t)) \mp b(t)x(h(t)) = 0, t\geq t_0 where a(t)0,b(t)0,g(t)t,h(t)t a(t)\geq 0, b(t)\geq 0, g(t)\leq t, h(t)\geq t explicit nonoscillation conditions are obtained.

Cite

@article{arxiv.0906.3246,
  title  = {On Nonoscillation of Mixed Advanced-Delay Differential Equations with Positive and Negative Coefficients},
  author = {Leonid Berezansky and Elena Braverman and Sandra Pinelas},
  journal= {arXiv preprint arXiv:0906.3246},
  year   = {2014}
}

Comments

17 pages; 2 figures; to appear in Computers & Mathematics with Applications

R2 v1 2026-06-21T13:14:36.015Z