Interval oscillation criteria for damped second-order delay differential equations with nonlinearities given by Riemann-Stieltjes integral

Muthulakshmi Velu; Manjuram Ramalingam

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Interval oscillation criteria for damped second-order delay differential equations with nonlinearities given by Riemann-Stieltjes integral

机译：Damped二阶延迟微分方程的间隔振荡标准与riemann-stieltjes集成的非线性的非线性

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The purpose of this paper is to investigate the oscillatory behaviour of certain types of damped second-order forced delay differential equations with nonlinearities given by Riemann-Stieltjes integral. By using the Riccati transformation, some inequalities and integral averaging technique, interval oscillation criteria of both El-Sayed type and Kong type are established. Finally, two examples are presented to illustrate the theoretical results.

机译：本文的目的是研究某些类型的阻尼二阶强制延迟微分方程的振荡行为与riemann-stieltjes积分给出的非线性。通过使用Riccati转换，建立了一些不等式和整体平均技术，建立了EL-Sayed类型和孔类型的间隔振荡标准。最后，提出了两个示例以说明理论结果。

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来源
《International journal of dynamical systems and differential equations》 |2021年第2期|89-107|共19页
作者
Muthulakshmi Velu; Manjuram Ramalingam;
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作者单位

Periyar Univ Dept Math Salem 636011 Tamil Nadu India;

Periyar Univ Dept Math Salem 636011 Tamil Nadu India;

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原文格式 PDF
正文语种 eng
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关键词
interval criteria; oscillation; delay differential equation; damping term; Riemann-Stieltjes integral;

机译：间隔标准;振荡;延迟微分方程;阻尼术语;riemann-stieltjes积分;

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1. Interval Oscillation Criteria for Second-Order Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals [J] . YuangongSun Abstract and applied analysis . 2011,第6期

机译：由Riemann-Stieltjes积分给出的具有非线性的二阶动力学方程的区间振动准则
2. Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals [J] . HaidongLiu, CuiqinMa Abstract and applied analysis . 2013,第8期

机译：二阶中立延迟动态方程的振动标准与riemann-stieltjes集成的非线性
3. Interval criteria for forced oscillation of differential equations with $p$-Laplacian and nonlinearities given by Riemann-Stieltjes integrals [J] . Taher S. Hassan, Qingkai Kong Journal of the Korean Mathematical Society . 2012,第5期

机译：带有$ p $ -Laplacian和非线性的微分方程的强迫振动的区间准则由Riemann-Stieltjes积分给出
4. Oscillatory behavior of damped second-order nonlinear delay differential equations with riemann-stieltjes integral [C] . R. Manjuram, V. Muthulakshmi International Conference on Advances in Applicable Mathematics . 2020

机译：瑞米森 - Stieltjes积分阻尼二阶非线性延迟微分方程的振荡行为
5. INTEGRAL INEQUALITIES RELATED TO NON-OSCILLATION THEOREMS FOR DIFFERENTIAL EQUATIONS [D] . HOLT, JOHN MELVIN -1

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6. Interval oscillation criteria for second-order forced impulsive delay differential equations with damping term [O] . Ethiraju Thandapani, Manju Kannan, Sandra Pinelas -1

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7. Interval Oscillation Criteria for Forced Second-Order Nonlinear Delay Dynamic Equations with Damping and Oscillatory Potential on Time Scales [O] . Hassan A. Agwa, Ahmed M. M. Khodier, Heba A. Hassan 2016

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Interval oscillation criteria for damped second-order delay differential equations with nonlinearities given by Riemann-Stieltjes integral

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