Journal of Applied Nonlinear Dynamics
Interval Oscillation of Damped SecondOrder Mixed Nonlinear Differential Equation with Variable Delay under Impulse Effects
Journal of Applied Nonlinear Dynamics 9(3) (2020) 493511  DOI:10.5890/JAND.2020.09.011
V. Muthulakshmi, R. Manjuram
Department of Mathematics, Periyar University, Salem636 011, Tamilnadu, India
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Abstract
In this paper, we study the oscillatory behavior of damped secondorder 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 UGCSpecial Assistance Programme (No.F.510/7/DRS1/2016(SAP1)) and R. Manjuram was supported by University Grants Commission, New Delhi 110 002, India (Grant No. F117.1/201314/RGNF201314SCTAM38915/(SAIII/Website)).
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