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期刊论文
Positive periodic solutions of nonlinear functional differential equations
Applied Mathematics and Computation 156(2004)329-339,-0001,():
We apply the generalized form of Leggett-Williams fixed point theorem to prove that the following nonlinear functional differential equation X'(t)=-a(t)x(t)+f(t,xt) has at least two positive T-periodic solutions, where a (t) is a T-periodic function satisfying exp (∫0a(u)du)>1, f (t,xt) is a nonnegative function defined on R×BC, where BC denotes the Banach space of bounded continuous functions.
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