Solution estimates and stability tests for linear neutral differential equations

Leonid Berezansky, Elena Braverman

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Explicit exponential stability tests are obtained for the scalar neutral differential equation ẋ(t)−a(t)ẋ(g(t))=−∑k=1mbk(t)x(hk(t)), together with exponential estimates for its solutions. Estimates for solutions of a non-homogeneous neutral equation are also obtained, they are valid on every finite segment, thus describing both asymptotic and transient behavior. For neutral differential equations, exponential estimates are obtained here for the first time. Both the coefficients and the delays are assumed to be measurable, not necessarily continuous functions.

Original languageEnglish
Article number106515
JournalApplied Mathematics Letters
StatePublished - 1 Oct 2020


  • Explicit solution estimates
  • Exponential stability tests
  • Linear neutral differential equations
  • Variable delays and coefficients

ASJC Scopus subject areas

  • Applied Mathematics


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