TY - JOUR
T1 - A note on positive periodic solutions of delayed differential equations
AU - Jin, Zhi Long
AU - Wang, Haiyan
PY - 2010/5
Y1 - 2010/5
N2 - 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, ∫0ω a (t) d t > 0, ∫0ω b (t) d t > 0, f ∈ C ([0, ∞), [0, ∞)), and f (u) > 0 for u > 0, τ (t) is a continuous ω-periodic function.
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, ∫0ω a (t) d t > 0, ∫0ω b (t) d t > 0, f ∈ C ([0, ∞), [0, ∞)), and f (u) > 0 for u > 0, τ (t) is a continuous ω-periodic function.
KW - Existence
KW - Fixed index theorem
KW - Positive periodic solution
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U2 - 10.1016/j.aml.2010.01.015
DO - 10.1016/j.aml.2010.01.015
M3 - Article
AN - SCOPUS:77949485003
SN - 0893-9659
VL - 23
SP - 581
EP - 584
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 5
ER -