MULTIPLE SOLUTIONS FOR PERIODIC PERTURBATIONS OF A DELAYED AUTONOMOUS SYSTEM NEAR AN EQUILIBRIUM

被引：3

作者：

Amster, Pablo ^{[1
]}

Paula Kuna, Mariel ^{[1
]}

Robledo, Gonzalo ^{[2
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, IMAS,CONICET, Ciudad Univ,Pabellon 1,C1428EGA, Buenos Aires, DF, Argentina

[2] Univ Chile, Dept Matemat, Fac Ciencias, Casilla 653, Santiago, Chile

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2019年 / 18卷 / 04期

关键词：

Delay differential systems; multiple periodic solutions; Poincare operator; fixed points; topological degree;

D O I：

10.3934/cpaa.2019080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Small non-autonomous perturbations around an equilibrium of a nonlinear delayed system are studied. Under appropriate assumptions, it is shown that the number of T-periodic solutions lying inside a bounded domain Omega subset of R-N is, generically, at least vertical bar chi +/- 1 vertical bar + 1, where chi denotes the Euler characteristic of Omega. Moreover, some connections between the associated fixed point operator and the Poincare operator are explored.

引用

页码：1695 / 1709

页数：15

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