PERIODIC SOLUTIONS OF A CERTAIN VECTOR DIFFERENTIAL EQUATION OF SIXTH ORDER

Ercan Tung

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PERIODIC SOLUTIONS OF A CERTAIN VECTOR DIFFERENTIAL EQUATION OF SIXTH ORDER

机译：某些六阶矢量微分方程的周期解

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摘要

In this paper, we give sufficient conditions for the nonexistence of nontrivial periodic solutions of the autonomous equation of the form: X~6+AX~5+BX~4+ Θ(X, X, X, X,X~4,X~5)X+Ψ(X)X+Ω(X, X, X, X, X~4, X~5)X +Φ(X)=0.

机译：本文为以下形式的自治方程的非平凡周期解的不存在提供了充分条件：X〜6 + AX〜5 + BX〜4 +Θ（X，X，X，X，X，X〜4，X 〜5）X +Ψ（X）X +Ω（X，X，X，X，X〜4，X〜5）X +Φ（X）= 0。

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来源
《Arabian Journal for Science and Engineering. Section A, Sciences》 |2008年第1a期|p.107-112|共6页
作者
Ercan Tung;
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作者单位

Faculty of Arts and Sciences, Department of Mathematics Gaziosmanpasa University 60240, Tokat, TURKEY;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类自然科学总论;
关键词
vector differential equation of sixth order; periodic solution;

机译：六阶矢量微分方程;周期解;

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1. Periodic and homoclinic solutions of some semilinear sixth-order differential equations [J] . Tersian S., Chaparova J. Journal of Mathematical Analysis and Applications . 2002,第1期

机译：一些半线性六阶微分方程的周期和同宿解
2. UNSTABLE SOLUTIONS TO A CLASS OF VECTOR DIFFERENTIAL EQUATIONS OF SIXTH ORDER [J] . Cemil Tun 微分方程年刊：英文版 . 2014,第003期

机译：对第六阶的一类矢量微分方程的不稳定解决方案
3. Existence of periodic solutions for a class of first order delay differential equations dealing with vectors [J] . Ke Wu, Xian Wu Nonlinear Analysis: An International Multidisciplinary Journal . 2010,第12期

机译：一类涉及向量的一阶时滞微分方程周期解的存在性
4. Preface of the "Sixth Symposium on Recent Trends in the Numerical Solution of Differential Equations" [C] . Luigi Brugnano, Ewa Weinmuller International Conference of Numerical Analysis and Applied Mathematics . 2014

机译：“第六次讨论近期趋势的差分方程数值趋势”的前言
5. PERIODIC SOLUTIONS OF A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS (THE VAN-DER-POL EQUATION). [D] . ECKWEILER, HOWARD JESSE. 1943

机译：一类非线性微分方程的周期解（范德波尔方程）。
6. Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations [O] . Gabil M. Amiraliyev, Aysenur Ucar 2013

机译：奇摄动常微分方程时间周期解的渐近界
7. Periodic and homoclinic solutions of some semilinear sixth-order differential equations [O] . Tersian Stepan, Chaparova Julia 2002

机译：一些半线性六阶微分方程的周期和同宿解
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

PERIODIC SOLUTIONS OF A CERTAIN VECTOR DIFFERENTIAL EQUATION OF SIXTH ORDER

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