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He, Tieshan; Yang, Wei; Zhao, Huaxin; Lei, Youfa

Positive periodic solutions for higher-order functional difference systems depending on a parameter. (English) Zbl 1279.39007

Mediterr. J. Math. 10, No. 2, 791-806 (2013).
For a given integer \(T\) with \(T\geq 0\), the authors are interested in the problem of existence, multiplicity and nonexistence of positive \(T\)-periodic solutions for the system \[ (IL- A(t))^n u(t)=\lambda H(t) f(t,u(t- \tau(t))),\quad t\in \mathbb Z. \]
Reviewer: Stefan Balint (Timişoara)

Cited in 2 Documents

MSC:

39A23 Periodic solutions of difference equations
39A10 Additive difference equations
39A22 Growth, boundedness, comparison of solutions to difference equations

Keywords:

high-order functional difference systems; fixed point index; positive periodic solution; multiplicity
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References:

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