STABILITY, EXISTENCE AND NON-EXISTENCE OF T-PERIODIC SOLUTIONS OF NONLINEAR DELAYED DIFFERENTIAL EQUATIONS WITH φ-LAPLACIAN

被引：1

作者：

Amster, Pablo ^{[1
,2
]}

Kuna, Mariel Paula ^{[1
,2
]}

Santos, Dionicio ^{[3
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemt, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, DF, Argentina

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

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

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2022年 / 21卷 / 08期

关键词：

Functional equations; Lyapunov-Krasovskii functional; global stability; boundedness; existence of periodic solutions; non-existence of periodic solutions; SUNFLOWER EQUATION; OSCILLATIONS; KIND;

D O I：

10.3934/cpaa.2022070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a Lyapunov-Krasovskii functional, new results concerning the global stability, boundedness of solutions, existence and non-existence of T-periodic solutions for a kind of delayed equation for a phi-Laplacian operator are obtained. An application is given for the well known sunflower equation.

引用

页码：2723 / 2737

页数：15

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