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Springerplus. 2016 May 4;5:558. doi: 10.1186/s40064-016-2117-5. eCollection 2016.

Interval oscillation criteria for second-order forced impulsive delay differential equations with damping term.

Author information

1
Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, 600 005 India.
2
Departamento De Ciencias Exactas E Naturais, Academia Militar, Av. Conde Castro Guimaraes, 2720-113 Amadora, Portugal.

Abstract

In this paper, we present some sufficient conditions for the oscillation of all solutions of a second order forced impulsive delay differential equation with damping term. Three factors-impulse, delay and damping that affect the interval qualitative properties of solutions of equations are taken into account together. The results obtained in this paper extend and generalize some of the the known results for forced impulsive differential equations. An example is provided to illustrate the main result.

KEYWORDS:

Damping term; Differential equation; Impulse; Oscillation; Second-order

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