HOPF BIFURCATION AND STABILITY ANALYSIS FOR A DELAYED EQUATION WITH φ-LAPLACIAN

被引：0

作者：

Amster, Pablo ^{[1
,2
]}

Kuna, Mariel p. ^{[1
,2
]}

Santos, Dionicio ^{[3
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Buenos Aires, Argentina

[2] Consejo Nacl Invest Cient & Tecn, IMAS, Pabellon 1, RA-1428 Buenos Aires, Argentina

[3] Univ Nacl Ctr Prov Buenos Aires, Fac Ciencias Exactas, Dept Matemat, Pinto 399, RA-7000 Buenos Aires, Argentina

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2024年 / 64卷 / 02期

关键词：

Key words and phrases. Functional-delay equations; Lyapunov-Krasovskii functional; sta-; bility; Hopf bifurcation; periodic solutions; SUNFLOWER EQUATION; PERIODIC-SOLUTIONS; KIND;

D O I：

10.12775/TMNA.2024.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. A formal framework for the analysis of Hopf bifurcations for a kind of delayed equation with phi-Laplacian and with a discrete time delay is presented, thus generalizing known results for the sunflower equation given by Somolinos in 1978. Also, under appropriate assumptions we prove the gradient-like behavior of the equation which, in turn, implies the non-existence of nonconstant periodic solutions. Our conditions improve previous results known in the literature for the standard case phi(x) = x.

引用

页码：545 / 559

页数：15

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