A note on positive periodic solutions of delayed differential equations

Zhi Long Jin, Haiyan Wang

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We consider the existence of positive ω-periodic solutions for the periodic equation x (t) = a (t) ex (t) x (t) - λ b (t) f (x (t - τ (t))), where a, b ∈ C (R, [0, ∞)) are ω-periodic, ∫0 ω a (t) d t > 0, ∫0 ω b (t) d t > 0, f ∈ C ([0, ∞), [0, ∞)), and f (u) > 0 for u > 0, τ (t) is a continuous ω-periodic function.

Original languageEnglish (US)
Pages (from-to)581-584
Number of pages4
JournalApplied Mathematics Letters
Volume23
Issue number5
DOIs
StatePublished - May 2010

Fingerprint

Delayed Differential Equation
Positive Periodic Solution
Differential equations
Periodic Functions
Continuous Function

Keywords

  • Existence
  • Fixed index theorem
  • Positive periodic solution

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

A note on positive periodic solutions of delayed differential equations. / Jin, Zhi Long; Wang, Haiyan.

In: Applied Mathematics Letters, Vol. 23, No. 5, 05.2010, p. 581-584.

Research output: Contribution to journalArticle

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AB - We consider the existence of positive ω-periodic solutions for the periodic equation x′ (t) = a (t) ex (t) x (t) - λ b (t) f (x (t - τ (t))), where a, b ∈ C (R, [0, ∞)) are ω-periodic, ∫0 ω a (t) d t > 0, ∫0 ω b (t) d t > 0, f ∈ C ([0, ∞), [0, ∞)), and f (u) > 0 for u > 0, τ (t) is a continuous ω-periodic function.

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