one-signed periodic solutions of first-order functional differential equations with a parameter
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2011
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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<00 for s∈(0,s1)∪(s1,∞) and f(s)<0 for s∈(-∞,s2)∪(s2,0).
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| Reference Key |
ma2011abstractone-signed
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|---|---|
| Authors | ;Ruyun Ma;Yanqiong Lu |
| Journal | science and technology of advanced materials |
| Year | 2011 |
| DOI |
10.1155/2011/843292
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| URL | |
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