On the qualitative behaviors of solutions of third-order nonlinear functional differential equations

Akta? M.F.; ?akmak D.; Tiryaki A.

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On the qualitative behaviors of solutions of third-order nonlinear functional differential equations

机译：关于三阶非线性泛函微分方程解的质性行为

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The third-order nonlinear functional differential equations of the form (r2 (t) (r1 (t)y′)′)′+p(t) y′+q(t)f(y(g(t)))=0 are considered. We present some new oscillatory and asymptotic behavior of solutions of this equation by modifying a method given for second-order differential equations. Our results are applicable to nonlinear functional differential equations of the above form. Several examples are also given to illustrate the importance of our results.

机译：形式（r2（t）（r1（t）y'）'）'+ p（t）y'+ q（t）f（y（g（t）））=的三阶非线性泛函微分方程考虑0。通过修改为二阶微分方程给出的方法，我们提出了该方程解的一些新的振动性和渐近性。我们的结果适用于上述形式的非线性泛函微分方程。还提供了一些示例来说明我们的结果的重要性。

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《Applied mathematics letters》 |2011年第11期|共7页
作者
Akta? M.F.; ?akmak D.; Tiryaki A.;
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正文语种 eng
中图分类应用数学;
关键词
Asymptotic; Oscillation; Qualitative behavior; Riccati transformation; Third order;

机译：渐近振动质性行为黎卡提变换三阶;

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专利

1. On the qualitative behaviors of solutions of third-order nonlinear functional differential equations [J] . Akta? M.F., ?akmak D., Tiryaki A. Applied mathematics letters . 2011,第11期

机译：关于三阶非线性泛函微分方程解的质性行为
2. Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations [J] . Akinwale L. Olutimo International Journal of Modern Nonlinear Theory and Application . 2016,第1期

机译：一类三阶非线性微分方程组解的收敛性结果
3. New results on asymptotic behavior of solutions of certain third-order nonlinear differential equations [J] . Mathew Omonigho Omeike Kragujevac Journal of Mathematics . 2011,第1期

机译：某些三阶非线性微分方程解的渐近性质的新结果
4. Oscillatory and Asymptotic Behavior of Third-order Nonlinear Functional Differential Equations [C] . Li Gao, Yuanhong Yu, Quanxin Zhang International Conference onensors, Measurement and Intelligent Materials . 2013

机译：三阶非线性功能微分方程的振荡和渐近行为
5. QUALITATIVE BEHAVIOR OF SOLUTIONS OF A THIRD ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATION. [D] . HEIDEL, JOHN WILLARD. 1967

机译：一阶三阶非线性常微分方程解的定性行为。
6. Interconnections between various analytic approaches applicable to third-order nonlinear differential equations [O] . R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan, -1

机译：适用于三阶非线性微分方程的各种解析方法之间的相互联系
7. On the qualitative behaviors of solutions of third-order nonlinear functional differential equations [O] . Aktaş Mustafa Fahri, Çakmak Devrim, Tiryaki Aydın 2011

机译：关于三阶非线性泛函微分方程解的质性行为

On the qualitative behaviors of solutions of third-order nonlinear functional differential equations

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