One‐Signed Periodic Solutions of First‐Order Functional Differential Equations with a Parameter

Ruyun Ma and Yanqiong Lu

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We study one‐signed periodic solutions of the first‐order functional differential equation u′(t) = −a(t)u(t) + λb(t)f(u(t − τ(t))), t ∈ ℝ by using global bifurcation techniques. Where a, b ∈ C(ℝ, [0, ∞)) are ω−periodic functions with ∫0ωa(t)dt>0, ∫0ωb(t)dt>0, τ is a continuous ω‐periodic function, and λ > 0 is a parameter. f ∈ C(ℝ,ℝ) and there exist two constants s2 0 for s ∈ (0, s1)∪(s1, ∞) and f(s)

Date: 2011
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https://doi.org/10.1155/2011/843292

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:843292

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