EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF SECOND-ORDER SUPERQUADRATIC DELAY DIFFERENTIAL EQUATIONS

Chengjun Guo; Donal ORegan; Yuantong Xu; Ravi P. Agarwal

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EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF SECOND-ORDER SUPERQUADRATIC DELAY DIFFERENTIAL EQUATIONS

机译：一类二阶超二次时滞微分方程周期解的存在性

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Using critical point theory (in particular a Linking theorem) we study the existence of periodic solutions for the second-order delay differential equations where f(t, x) depends periodically on t and F(t, x) is superquadratic (here ▽_XF = f). In particular we consider the case when f does riot satisfy the Ambrosetti-Rabinowitz growth condition.

机译：使用临界点理论（尤其是链接定理），我们研究了二阶时滞微分方程的周期解的存在性，其中f（t，x）周期性地取决于t，F（t，x）是超二次的（此处▽_XF = f）。特别地，我们考虑了当暴动满足Ambrosetti-Rabinowitz生长条件时的情况。

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《Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis》 |2014年第5期|共15页
作者
Chengjun Guo; Donal ORegan; Yuantong Xu; Ravi P. Agarwal;
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正文语种 eng
中图分类数学;
关键词
Delay differential equations; Critical point theory; Linking theorem; Superquad -ratic growth condition;

机译：时滞微分方程;临界点理论;链接定理;超二次增长条件;

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专利

1. EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF SECOND-ORDER SUPERQUADRATIC DELAY DIFFERENTIAL EQUATIONS [J] . Chengjun Guo, Donal ORegan, Yuantong Xu, Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2014,第5期

机译：一类二阶超二次时滞微分方程周期解的存在性
2. On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays [J] . QiangLi, YongxiangLi Abstract and applied analysis . 2012,第6期

机译：具有多个时滞的二阶泛函微分方程正周期解的存在性
3. Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays [J] . Na Wang Advances in Mathematical Physics . 2017,第Pta1期

机译：一种与延迟延迟的二阶中性功能微分方程的周期解决方案的存在唯一性
4. The Existence of Positive Periodic Solution for a Class of Functional Differential Equation with Multi-delays [C] . Gehua Fan, Yucai Dong, Lianghai Yi, International Conference on Applied Mechanics, Materials and Manufacturing . 2012

机译：多延迟一类功能微分方程存在正周期解的存在
5. Pseudo almost periodic solutions to some systems of nonlinear hyperbolic second-order partial differential equations. [D] . Al-Islam, Najja Shakir. 2009

机译：某些非线性双曲型二阶偏微分方程组的伪几乎周期解。
6. Existence of Periodic Solutions for Certain Differential Equations [O] . S. Lefschetz 1943

机译：一类微分方程周期解的存在性
7. On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays [O] . Qiang Li, Yongxiang Li 2012

机译：多次延迟二阶函数微分方程正周期解的存在

EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF SECOND-ORDER SUPERQUADRATIC DELAY DIFFERENTIAL EQUATIONS

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