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Zeng, Zhijun; Bi, Li; Fan, Meng

Existence of multiple positive periodic solutions for functional differential equations. (English) Zbl 1110.34043

J. Math. Anal. Appl. 325, No. 2, 1378-1389 (2007).
Summary: By employing Krasnoselskii’s fixed-point theorem, we investigate the existence of multiple positive periodic solutions for functional-differential equations of the form \[ \dot x(t)=A(t,x(t))x(t)+\lambda f(t,x_t), \] where \(\lambda>0\) is a parameter. Some easily verifiable sufficient criteria are established.

Cited in 19 Documents

MSC:

34K10 Boundary value problems for functional-differential equations

Keywords:

positive periodic solution; functional-differential equations; Krasnoselskii fixed-point theorem
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\textit{Z. Zeng} et al., J. Math. Anal. Appl. 325, No. 2, 1378--1389 (2007; Zbl 1110.34043)
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References:

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