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

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.

MSC:

34K10 Boundary value problems for functional-differential equations
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