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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Interval Oscillation of Damped Second-Order Mixed Nonlinear Differential Equation with Variable Delay under Impulse Effects

Journal of Applied Nonlinear Dynamics 9(3) (2020) 493--511 | DOI:10.5890/JAND.2020.09.011

V. Muthulakshmi, R. Manjuram

Department of Mathematics, Periyar University, Salem-636 011, Tamilnadu, India

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Abstract

In this paper, we study the oscillatory behavior of damped second-order mixed nonlinear differential equation with variable delay under impulse effects. By using Riccati transformation technique, integral averaging method and some inequalities, we obtain sufficient conditions for oscillation of all solutions. Finally, two examples are presented to illustrate the theoretical results.

Acknowledgments

This work was partially supported by UGC-Special Assistance Programme (No.F.510/7/DRS-1/2016(SAP-1)) and R. Manjuram was supported by University Grants Commission, New Delhi 110 002, India (Grant No. F1-17.1/2013-14/RGNF-2013-14-SCTAM-38915/(SA-III/Website)).

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